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Finding the Fourth Proportional to 418.87, 631.26 and 379.86

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Solution

The fourth proportional to 418.87, 631.26 and 379.86 is: 572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.87 : 631.26 = 379.86 : x
  2. Step 2: Convert to fraction form
    418.87/631.26 = 379.86/x
  3. Step 3: Cross multiply
    418.87x = 631.26 × 379.86
  4. Step 4: Simplify right side
    418.87x = 239,790.42
  5. Step 5: Solve for x
    x = 239,790.42/418.87
  6. Step 6: Final answer
    x = 572.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.