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Finding the Fourth Proportional to 417.18, 574.77 and 379.92

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Solution

The fourth proportional to 417.18, 574.77 and 379.92 is: 523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.18 : 574.77 = 379.92 : x
  2. Step 2: Convert to fraction form
    417.18/574.77 = 379.92/x
  3. Step 3: Cross multiply
    417.18x = 574.77 × 379.92
  4. Step 4: Simplify right side
    417.18x = 218,366.62
  5. Step 5: Solve for x
    x = 218,366.62/417.18
  6. Step 6: Final answer
    x = 523.44

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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.