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Finding the Fourth Proportional to 545.96, 819.66 and 286.16

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Solution

The fourth proportional to 545.96, 819.66 and 286.16 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 819.66 = 286.16 : x
  2. Step 2: Convert to fraction form
    545.96/819.66 = 286.16/x
  3. Step 3: Cross multiply
    545.96x = 819.66 × 286.16
  4. Step 4: Simplify right side
    545.96x = 234,553.91
  5. Step 5: Solve for x
    x = 234,553.91/545.96
  6. Step 6: Final answer
    x = 429.62

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1.5x scale

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.