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Finding the Fourth Proportional to 687.72, 1,029.96 and 542.46

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Solution

The fourth proportional to 687.72, 1,029.96 and 542.46 is: 812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.72 : 1,029.96 = 542.46 : x
  2. Step 2: Convert to fraction form
    687.72/1,029.96 = 542.46/x
  3. Step 3: Cross multiply
    687.72x = 1,029.96 × 542.46
  4. Step 4: Simplify right side
    687.72x = 558,712.10
  5. Step 5: Solve for x
    x = 558,712.10/687.72
  6. Step 6: Final answer
    x = 812.41

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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.