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Finding the Fourth Proportional to 557.73, 769.39 and 452.61

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Solution

The fourth proportional to 557.73, 769.39 and 452.61 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.73 : 769.39 = 452.61 : x
  2. Step 2: Convert to fraction form
    557.73/769.39 = 452.61/x
  3. Step 3: Cross multiply
    557.73x = 769.39 × 452.61
  4. Step 4: Simplify right side
    557.73x = 348,233.61
  5. Step 5: Solve for x
    x = 348,233.61/557.73
  6. Step 6: Final answer
    x = 624.38

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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.