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Finding the Fourth Proportional to 545.86, 819.84 and 467.95

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Solution

The fourth proportional to 545.86, 819.84 and 467.95 is: 702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.86 : 819.84 = 467.95 : x
  2. Step 2: Convert to fraction form
    545.86/819.84 = 467.95/x
  3. Step 3: Cross multiply
    545.86x = 819.84 × 467.95
  4. Step 4: Simplify right side
    545.86x = 383,644.13
  5. Step 5: Solve for x
    x = 383,644.13/545.86
  6. Step 6: Final answer
    x = 702.83

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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.