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Finding the Fourth Proportional to 992.31, 1,487.49 and 472.38

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Solution

The fourth proportional to 992.31, 1,487.49 and 472.38 is: 708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.31 : 1,487.49 = 472.38 : x
  2. Step 2: Convert to fraction form
    992.31/1,487.49 = 472.38/x
  3. Step 3: Cross multiply
    992.31x = 1,487.49 × 472.38
  4. Step 4: Simplify right side
    992.31x = 702,653.09
  5. Step 5: Solve for x
    x = 702,653.09/992.31
  6. Step 6: Final answer
    x = 708.10

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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.