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Finding the Fourth Proportional to 578.65, 862.46 and 577.75

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Solution

The fourth proportional to 578.65, 862.46 and 577.75 is: 861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.65 : 862.46 = 577.75 : x
  2. Step 2: Convert to fraction form
    578.65/862.46 = 577.75/x
  3. Step 3: Cross multiply
    578.65x = 862.46 × 577.75
  4. Step 4: Simplify right side
    578.65x = 498,286.27
  5. Step 5: Solve for x
    x = 498,286.27/578.65
  6. Step 6: Final answer
    x = 861.12

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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.