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Finding the Fourth Proportional to 406.24, 605.03 and 391.88

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Solution

The fourth proportional to 406.24, 605.03 and 391.88 is: 583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 605.03 = 391.88 : x
  2. Step 2: Convert to fraction form
    406.24/605.03 = 391.88/x
  3. Step 3: Cross multiply
    406.24x = 605.03 × 391.88
  4. Step 4: Simplify right side
    406.24x = 237,098.71
  5. Step 5: Solve for x
    x = 237,098.71/406.24
  6. Step 6: Final answer
    x = 583.65

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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.