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Finding the Fourth Proportional to 689.65, 951.07 and 532.03

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Solution

The fourth proportional to 689.65, 951.07 and 532.03 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.65 : 951.07 = 532.03 : x
  2. Step 2: Convert to fraction form
    689.65/951.07 = 532.03/x
  3. Step 3: Cross multiply
    689.65x = 951.07 × 532.03
  4. Step 4: Simplify right side
    689.65x = 505,997.63
  5. Step 5: Solve for x
    x = 505,997.63/689.65
  6. Step 6: Final answer
    x = 733.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.