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Finding the Fourth Proportional to 1,444.74, 1,993.70 and 920.76

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Solution

The fourth proportional to 1,444.74, 1,993.70 and 920.76 is: 1,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.74 : 1,993.70 = 920.76 : x
  2. Step 2: Convert to fraction form
    1,444.74/1,993.70 = 920.76/x
  3. Step 3: Cross multiply
    1,444.74x = 1,993.70 × 920.76
  4. Step 4: Simplify right side
    1,444.74x = 1,835,719.21
  5. Step 5: Solve for x
    x = 1,835,719.21/1,444.74
  6. Step 6: Final answer
    x = 1,270.62

Related Problems

Find fourth proportional to 722.37, 996.85 and 460.38
Half scale
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Double scale
Find fourth proportional to 1,445.74, 1,995.08 and 921.76
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.