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Finding the Fourth Proportional to 632.79, 947.93 and 415.71

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Solution

The fourth proportional to 632.79, 947.93 and 415.71 is: 622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.79 : 947.93 = 415.71 : x
  2. Step 2: Convert to fraction form
    632.79/947.93 = 415.71/x
  3. Step 3: Cross multiply
    632.79x = 947.93 × 415.71
  4. Step 4: Simplify right side
    632.79x = 394,061.90
  5. Step 5: Solve for x
    x = 394,061.90/632.79
  6. Step 6: Final answer
    x = 622.74

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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.