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Finding the Fourth Proportional to 689.88, 952.49 and 532.24

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Solution

The fourth proportional to 689.88, 952.49 and 532.24 is: 734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.88 : 952.49 = 532.24 : x
  2. Step 2: Convert to fraction form
    689.88/952.49 = 532.24/x
  3. Step 3: Cross multiply
    689.88x = 952.49 × 532.24
  4. Step 4: Simplify right side
    689.88x = 506,953.28
  5. Step 5: Solve for x
    x = 506,953.28/689.88
  6. Step 6: Final answer
    x = 734.84

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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.