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Finding the Fourth Proportional to 566.38, 781.62 and 342.39

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Solution

The fourth proportional to 566.38, 781.62 and 342.39 is: 472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 781.62 = 342.39 : x
  2. Step 2: Convert to fraction form
    566.38/781.62 = 342.39/x
  3. Step 3: Cross multiply
    566.38x = 781.62 × 342.39
  4. Step 4: Simplify right side
    566.38x = 267,620.11
  5. Step 5: Solve for x
    x = 267,620.11/566.38
  6. Step 6: Final answer
    x = 472.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.