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Finding the Fourth Proportional to 731.74, 1,010.44 and 511.14

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Solution

The fourth proportional to 731.74, 1,010.44 and 511.14 is: 705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.74 : 1,010.44 = 511.14 : x
  2. Step 2: Convert to fraction form
    731.74/1,010.44 = 511.14/x
  3. Step 3: Cross multiply
    731.74x = 1,010.44 × 511.14
  4. Step 4: Simplify right side
    731.74x = 516,476.30
  5. Step 5: Solve for x
    x = 516,476.30/731.74
  6. Step 6: Final answer
    x = 705.82

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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.