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Finding the Fourth Proportional to 423.86, 632.41 and 379.82

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Solution

The fourth proportional to 423.86, 632.41 and 379.82 is: 566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 632.41 = 379.82 : x
  2. Step 2: Convert to fraction form
    423.86/632.41 = 379.82/x
  3. Step 3: Cross multiply
    423.86x = 632.41 × 379.82
  4. Step 4: Simplify right side
    423.86x = 240,201.97
  5. Step 5: Solve for x
    x = 240,201.97/423.86
  6. Step 6: Final answer
    x = 566.70

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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.