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Finding the Fourth Proportional to 641.65, 962.48 and 505.42

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Solution

The fourth proportional to 641.65, 962.48 and 505.42 is: 758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.65 : 962.48 = 505.42 : x
  2. Step 2: Convert to fraction form
    641.65/962.48 = 505.42/x
  3. Step 3: Cross multiply
    641.65x = 962.48 × 505.42
  4. Step 4: Simplify right side
    641.65x = 486,449.30
  5. Step 5: Solve for x
    x = 486,449.30/641.65
  6. Step 6: Final answer
    x = 758.12

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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.