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Finding the Fourth Proportional to 697.65, 962.56 and 432.29

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Solution

The fourth proportional to 697.65, 962.56 and 432.29 is: 596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.65 : 962.56 = 432.29 : x
  2. Step 2: Convert to fraction form
    697.65/962.56 = 432.29/x
  3. Step 3: Cross multiply
    697.65x = 962.56 × 432.29
  4. Step 4: Simplify right side
    697.65x = 416,105.44
  5. Step 5: Solve for x
    x = 416,105.44/697.65
  6. Step 6: Final answer
    x = 596.43

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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.