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Finding the Fourth Proportional to 817.29, 1,223.51 and 542.70

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Solution

The fourth proportional to 817.29, 1,223.51 and 542.70 is: 812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.29 : 1,223.51 = 542.70 : x
  2. Step 2: Convert to fraction form
    817.29/1,223.51 = 542.70/x
  3. Step 3: Cross multiply
    817.29x = 1,223.51 × 542.70
  4. Step 4: Simplify right side
    817.29x = 663,996.16
  5. Step 5: Solve for x
    x = 663,996.16/817.29
  6. Step 6: Final answer
    x = 812.44

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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.