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Finding the Fourth Proportional to 689.50, 950.79 and 532.16

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Solution

The fourth proportional to 689.50, 950.79 and 532.16 is: 733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.50 : 950.79 = 532.16 : x
  2. Step 2: Convert to fraction form
    689.50/950.79 = 532.16/x
  3. Step 3: Cross multiply
    689.50x = 950.79 × 532.16
  4. Step 4: Simplify right side
    689.50x = 505,972.41
  5. Step 5: Solve for x
    x = 505,972.41/689.50
  6. Step 6: Final answer
    x = 733.83

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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.