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Finding the Fourth Proportional to 731.43, 1,009.02 and 420.75

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Solution

The fourth proportional to 731.43, 1,009.02 and 420.75 is: 580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.43 : 1,009.02 = 420.75 : x
  2. Step 2: Convert to fraction form
    731.43/1,009.02 = 420.75/x
  3. Step 3: Cross multiply
    731.43x = 1,009.02 × 420.75
  4. Step 4: Simplify right side
    731.43x = 424,545.17
  5. Step 5: Solve for x
    x = 424,545.17/731.43
  6. Step 6: Final answer
    x = 580.43

Related Problems

Find fourth proportional to 365.72, 504.51 and 210.38
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.