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Finding the Fourth Proportional to 545.54, 814.10 and 487.14

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Solution

The fourth proportional to 545.54, 814.10 and 487.14 is: 726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.54 : 814.10 = 487.14 : x
  2. Step 2: Convert to fraction form
    545.54/814.10 = 487.14/x
  3. Step 3: Cross multiply
    545.54x = 814.10 × 487.14
  4. Step 4: Simplify right side
    545.54x = 396,580.67
  5. Step 5: Solve for x
    x = 396,580.67/545.54
  6. Step 6: Final answer
    x = 726.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.