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Finding the Fourth Proportional to 731.02, 1,008.12 and 565.60

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Solution

The fourth proportional to 731.02, 1,008.12 and 565.60 is: 780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.02 : 1,008.12 = 565.60 : x
  2. Step 2: Convert to fraction form
    731.02/1,008.12 = 565.60/x
  3. Step 3: Cross multiply
    731.02x = 1,008.12 × 565.60
  4. Step 4: Simplify right side
    731.02x = 570,192.67
  5. Step 5: Solve for x
    x = 570,192.67/731.02
  6. Step 6: Final answer
    x = 780.00

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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.