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Finding the Fourth Proportional to 545.78, 819.12 and 381.30

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Solution

The fourth proportional to 545.78, 819.12 and 381.30 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.78 : 819.12 = 381.30 : x
  2. Step 2: Convert to fraction form
    545.78/819.12 = 381.30/x
  3. Step 3: Cross multiply
    545.78x = 819.12 × 381.30
  4. Step 4: Simplify right side
    545.78x = 312,330.46
  5. Step 5: Solve for x
    x = 312,330.46/545.78
  6. Step 6: Final answer
    x = 572.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.