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Finding the Fourth Proportional to 689.34, 951.33 and 523.29

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Solution

The fourth proportional to 689.34, 951.33 and 523.29 is: 722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.34 : 951.33 = 523.29 : x
  2. Step 2: Convert to fraction form
    689.34/951.33 = 523.29/x
  3. Step 3: Cross multiply
    689.34x = 951.33 × 523.29
  4. Step 4: Simplify right side
    689.34x = 497,821.48
  5. Step 5: Solve for x
    x = 497,821.48/689.34
  6. Step 6: Final answer
    x = 722.17

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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.