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Finding the Fourth Proportional to 731.28, 1,008.64 and 469.60

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Solution

The fourth proportional to 731.28, 1,008.64 and 469.60 is: 647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.28 : 1,008.64 = 469.60 : x
  2. Step 2: Convert to fraction form
    731.28/1,008.64 = 469.60/x
  3. Step 3: Cross multiply
    731.28x = 1,008.64 × 469.60
  4. Step 4: Simplify right side
    731.28x = 473,657.34
  5. Step 5: Solve for x
    x = 473,657.34/731.28
  6. Step 6: Final answer
    x = 647.71

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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.