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Finding the Fourth Proportional to 424.28, 584.26 and 414.70

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Solution

The fourth proportional to 424.28, 584.26 and 414.70 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.28 : 584.26 = 414.70 : x
  2. Step 2: Convert to fraction form
    424.28/584.26 = 414.70/x
  3. Step 3: Cross multiply
    424.28x = 584.26 × 414.70
  4. Step 4: Simplify right side
    424.28x = 242,292.62
  5. Step 5: Solve for x
    x = 242,292.62/424.28
  6. Step 6: Final answer
    x = 571.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.