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Finding the Fourth Proportional to 641.88, 960.66 and 532.80

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Solution

The fourth proportional to 641.88, 960.66 and 532.80 is: 797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 960.66 = 532.80 : x
  2. Step 2: Convert to fraction form
    641.88/960.66 = 532.80/x
  3. Step 3: Cross multiply
    641.88x = 960.66 × 532.80
  4. Step 4: Simplify right side
    641.88x = 511,839.65
  5. Step 5: Solve for x
    x = 511,839.65/641.88
  6. Step 6: Final answer
    x = 797.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.