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Finding the Fourth Proportional to 425.88, 584.10 and 408.24

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Solution

The fourth proportional to 425.88, 584.10 and 408.24 is: 559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.88 : 584.10 = 408.24 : x
  2. Step 2: Convert to fraction form
    425.88/584.10 = 408.24/x
  3. Step 3: Cross multiply
    425.88x = 584.10 × 408.24
  4. Step 4: Simplify right side
    425.88x = 238,452.98
  5. Step 5: Solve for x
    x = 238,452.98/425.88
  6. Step 6: Final answer
    x = 559.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.