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Finding the Fourth Proportional to 542.57, 812.33 and 422.24

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Solution

The fourth proportional to 542.57, 812.33 and 422.24 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 812.33 = 422.24 : x
  2. Step 2: Convert to fraction form
    542.57/812.33 = 422.24/x
  3. Step 3: Cross multiply
    542.57x = 812.33 × 422.24
  4. Step 4: Simplify right side
    542.57x = 342,996.11
  5. Step 5: Solve for x
    x = 342,996.11/542.57
  6. Step 6: Final answer
    x = 632.17

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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.