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Finding the Fourth Proportional to 578.68, 862.45 and 577.78

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Solution

The fourth proportional to 578.68, 862.45 and 577.78 is: 861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 862.45 = 577.78 : x
  2. Step 2: Convert to fraction form
    578.68/862.45 = 577.78/x
  3. Step 3: Cross multiply
    578.68x = 862.45 × 577.78
  4. Step 4: Simplify right side
    578.68x = 498,306.36
  5. Step 5: Solve for x
    x = 498,306.36/578.68
  6. Step 6: Final answer
    x = 861.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.