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Finding the Fourth Proportional to 545.97, 819.08 and 257.25

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Solution

The fourth proportional to 545.97, 819.08 and 257.25 is: 385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.97 : 819.08 = 257.25 : x
  2. Step 2: Convert to fraction form
    545.97/819.08 = 257.25/x
  3. Step 3: Cross multiply
    545.97x = 819.08 × 257.25
  4. Step 4: Simplify right side
    545.97x = 210,707.04
  5. Step 5: Solve for x
    x = 210,707.04/545.97
  6. Step 6: Final answer
    x = 385.93

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Double scale
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Similar ratio
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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.