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Finding the Fourth Proportional to 557.60, 769.54 and 308.92

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Solution

The fourth proportional to 557.60, 769.54 and 308.92 is: 426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 769.54 = 308.92 : x
  2. Step 2: Convert to fraction form
    557.60/769.54 = 308.92/x
  3. Step 3: Cross multiply
    557.60x = 769.54 × 308.92
  4. Step 4: Simplify right side
    557.60x = 237,726.30
  5. Step 5: Solve for x
    x = 237,726.30/557.60
  6. Step 6: Final answer
    x = 426.34

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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.