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Finding the Fourth Proportional to 584.20, 868.19 and 575.29

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Solution

The fourth proportional to 584.20, 868.19 and 575.29 is: 854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 868.19 = 575.29 : x
  2. Step 2: Convert to fraction form
    584.20/868.19 = 575.29/x
  3. Step 3: Cross multiply
    584.20x = 868.19 × 575.29
  4. Step 4: Simplify right side
    584.20x = 499,461.03
  5. Step 5: Solve for x
    x = 499,461.03/584.20
  6. Step 6: Final answer
    x = 854.95

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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.