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Finding the Fourth Proportional to 461.80, 636.78 and 457.12

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Solution

The fourth proportional to 461.80, 636.78 and 457.12 is: 630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.80 : 636.78 = 457.12 : x
  2. Step 2: Convert to fraction form
    461.80/636.78 = 457.12/x
  3. Step 3: Cross multiply
    461.80x = 636.78 × 457.12
  4. Step 4: Simplify right side
    461.80x = 291,084.87
  5. Step 5: Solve for x
    x = 291,084.87/461.80
  6. Step 6: Final answer
    x = 630.33

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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.