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Finding the Fourth Proportional to 545.71, 819.15 and 302.71

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Solution

The fourth proportional to 545.71, 819.15 and 302.71 is: 454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.71 : 819.15 = 302.71 : x
  2. Step 2: Convert to fraction form
    545.71/819.15 = 302.71/x
  3. Step 3: Cross multiply
    545.71x = 819.15 × 302.71
  4. Step 4: Simplify right side
    545.71x = 247,964.90
  5. Step 5: Solve for x
    x = 247,964.90/545.71
  6. Step 6: Final answer
    x = 454.39

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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.