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Finding the Fourth Proportional to 622.53, 932.68 and 427.23

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Solution

The fourth proportional to 622.53, 932.68 and 427.23 is: 640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.53 : 932.68 = 427.23 : x
  2. Step 2: Convert to fraction form
    622.53/932.68 = 427.23/x
  3. Step 3: Cross multiply
    622.53x = 932.68 × 427.23
  4. Step 4: Simplify right side
    622.53x = 398,468.88
  5. Step 5: Solve for x
    x = 398,468.88/622.53
  6. Step 6: Final answer
    x = 640.08

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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.