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Finding the Fourth Proportional to 1,030.75, 1,422.44 and 616.75

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Solution

The fourth proportional to 1,030.75, 1,422.44 and 616.75 is: 851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.75 : 1,422.44 = 616.75 : x
  2. Step 2: Convert to fraction form
    1,030.75/1,422.44 = 616.75/x
  3. Step 3: Cross multiply
    1,030.75x = 1,422.44 × 616.75
  4. Step 4: Simplify right side
    1,030.75x = 877,289.87
  5. Step 5: Solve for x
    x = 877,289.87/1,030.75
  6. Step 6: Final answer
    x = 851.12

Related Problems

Find fourth proportional to 515.38, 711.22 and 308.38
Half scale
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Double scale
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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.