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Finding the Fourth Proportional to 545.46, 814.38 and 463.14

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Solution

The fourth proportional to 545.46, 814.38 and 463.14 is: 691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 814.38 = 463.14 : x
  2. Step 2: Convert to fraction form
    545.46/814.38 = 463.14/x
  3. Step 3: Cross multiply
    545.46x = 814.38 × 463.14
  4. Step 4: Simplify right side
    545.46x = 377,171.95
  5. Step 5: Solve for x
    x = 377,171.95/545.46
  6. Step 6: Final answer
    x = 691.47

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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.