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Finding the Fourth Proportional to 694.35, 1,042.17 and 511.17

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Solution

The fourth proportional to 694.35, 1,042.17 and 511.17 is: 767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.35 : 1,042.17 = 511.17 : x
  2. Step 2: Convert to fraction form
    694.35/1,042.17 = 511.17/x
  3. Step 3: Cross multiply
    694.35x = 1,042.17 × 511.17
  4. Step 4: Simplify right side
    694.35x = 532,726.04
  5. Step 5: Solve for x
    x = 532,726.04/694.35
  6. Step 6: Final answer
    x = 767.23

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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.