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Finding the Fourth Proportional to 812.38, 1,121 and 497.50

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Solution

The fourth proportional to 812.38, 1,121 and 497.50 is: 686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.38 : 1,121 = 497.50 : x
  2. Step 2: Convert to fraction form
    812.38/1,121 = 497.50/x
  3. Step 3: Cross multiply
    812.38x = 1,121 × 497.50
  4. Step 4: Simplify right side
    812.38x = 557,697.50
  5. Step 5: Solve for x
    x = 557,697.50/812.38
  6. Step 6: Final answer
    x = 686.50

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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.