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Finding the Fourth Proportional to 663.50, 994.17 and 542

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Solution

The fourth proportional to 663.50, 994.17 and 542 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.50 : 994.17 = 542 : x
  2. Step 2: Convert to fraction form
    663.50/994.17 = 542/x
  3. Step 3: Cross multiply
    663.50x = 994.17 × 542
  4. Step 4: Simplify right side
    663.50x = 538,840.14
  5. Step 5: Solve for x
    x = 538,840.14/663.50
  6. Step 6: Final answer
    x = 812.12

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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.