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Finding the Fourth Proportional to 632.48, 947.14 and 522.11

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Solution

The fourth proportional to 632.48, 947.14 and 522.11 is: 781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.48 : 947.14 = 522.11 : x
  2. Step 2: Convert to fraction form
    632.48/947.14 = 522.11/x
  3. Step 3: Cross multiply
    632.48x = 947.14 × 522.11
  4. Step 4: Simplify right side
    632.48x = 494,512.33
  5. Step 5: Solve for x
    x = 494,512.33/632.48
  6. Step 6: Final answer
    x = 781.87

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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.