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Finding the Fourth Proportional to 633.68, 951.06 and 451.52

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Solution

The fourth proportional to 633.68, 951.06 and 451.52 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.68 : 951.06 = 451.52 : x
  2. Step 2: Convert to fraction form
    633.68/951.06 = 451.52/x
  3. Step 3: Cross multiply
    633.68x = 951.06 × 451.52
  4. Step 4: Simplify right side
    633.68x = 429,422.61
  5. Step 5: Solve for x
    x = 429,422.61/633.68
  6. Step 6: Final answer
    x = 677.66

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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.