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Finding the Fourth Proportional to 610.78, 843.56 and 545.18

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Solution

The fourth proportional to 610.78, 843.56 and 545.18 is: 752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.78 : 843.56 = 545.18 : x
  2. Step 2: Convert to fraction form
    610.78/843.56 = 545.18/x
  3. Step 3: Cross multiply
    610.78x = 843.56 × 545.18
  4. Step 4: Simplify right side
    610.78x = 459,892.04
  5. Step 5: Solve for x
    x = 459,892.04/610.78
  6. Step 6: Final answer
    x = 752.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.