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Finding the Fourth Proportional to 578.30, 868.37 and 457.11

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Solution

The fourth proportional to 578.30, 868.37 and 457.11 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 868.37 = 457.11 : x
  2. Step 2: Convert to fraction form
    578.30/868.37 = 457.11/x
  3. Step 3: Cross multiply
    578.30x = 868.37 × 457.11
  4. Step 4: Simplify right side
    578.30x = 396,937.30
  5. Step 5: Solve for x
    x = 396,937.30/578.30
  6. Step 6: Final answer
    x = 686.38

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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.