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Finding the Fourth Proportional to 545.76, 818.78 and 257.13

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Solution

The fourth proportional to 545.76, 818.78 and 257.13 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 818.78 = 257.13 : x
  2. Step 2: Convert to fraction form
    545.76/818.78 = 257.13/x
  3. Step 3: Cross multiply
    545.76x = 818.78 × 257.13
  4. Step 4: Simplify right side
    545.76x = 210,531.62
  5. Step 5: Solve for x
    x = 210,531.62/545.76
  6. Step 6: Final answer
    x = 385.76

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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.