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Finding the Fourth Proportional to 1,615.95, 2,230.30 and 952.76

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Solution

The fourth proportional to 1,615.95, 2,230.30 and 952.76 is: 1,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.95 : 2,230.30 = 952.76 : x
  2. Step 2: Convert to fraction form
    1,615.95/2,230.30 = 952.76/x
  3. Step 3: Cross multiply
    1,615.95x = 2,230.30 × 952.76
  4. Step 4: Simplify right side
    1,615.95x = 2,124,947.39
  5. Step 5: Solve for x
    x = 2,124,947.39/1,615.95
  6. Step 6: Final answer
    x = 1,314.98

Related Problems

Find fourth proportional to 807.98, 1,115.15 and 476.38
Half scale
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Double scale
Find fourth proportional to 1,616.95, 2,231.68 and 953.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.