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Finding the Fourth Proportional to 545.73, 814.41 and 487.34

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Solution

The fourth proportional to 545.73, 814.41 and 487.34 is: 727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.73 : 814.41 = 487.34 : x
  2. Step 2: Convert to fraction form
    545.73/814.41 = 487.34/x
  3. Step 3: Cross multiply
    545.73x = 814.41 × 487.34
  4. Step 4: Simplify right side
    545.73x = 396,895.73
  5. Step 5: Solve for x
    x = 396,895.73/545.73
  6. Step 6: Final answer
    x = 727.27

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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.