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Finding the Fourth Proportional to 992.89, 1,487.31 and 472.15

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Solution

The fourth proportional to 992.89, 1,487.31 and 472.15 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.89 : 1,487.31 = 472.15 : x
  2. Step 2: Convert to fraction form
    992.89/1,487.31 = 472.15/x
  3. Step 3: Cross multiply
    992.89x = 1,487.31 × 472.15
  4. Step 4: Simplify right side
    992.89x = 702,233.42
  5. Step 5: Solve for x
    x = 702,233.42/992.89
  6. Step 6: Final answer
    x = 707.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.