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Finding the Fourth Proportional to 632.71, 947.85 and 415.83

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Solution

The fourth proportional to 632.71, 947.85 and 415.83 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.71 : 947.85 = 415.83 : x
  2. Step 2: Convert to fraction form
    632.71/947.85 = 415.83/x
  3. Step 3: Cross multiply
    632.71x = 947.85 × 415.83
  4. Step 4: Simplify right side
    632.71x = 394,148.80
  5. Step 5: Solve for x
    x = 394,148.80/632.71
  6. Step 6: Final answer
    x = 622.95

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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.