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Finding the Fourth Proportional to 566.57, 781.88 and 342.48

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Solution

The fourth proportional to 566.57, 781.88 and 342.48 is: 472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.57 : 781.88 = 342.48 : x
  2. Step 2: Convert to fraction form
    566.57/781.88 = 342.48/x
  3. Step 3: Cross multiply
    566.57x = 781.88 × 342.48
  4. Step 4: Simplify right side
    566.57x = 267,774.95
  5. Step 5: Solve for x
    x = 267,774.95/566.57
  6. Step 6: Final answer
    x = 472.62

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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.