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Finding the Fourth Proportional to 423.64, 632.05 and 379.59

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Solution

The fourth proportional to 423.64, 632.05 and 379.59 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 632.05 = 379.59 : x
  2. Step 2: Convert to fraction form
    423.64/632.05 = 379.59/x
  3. Step 3: Cross multiply
    423.64x = 632.05 × 379.59
  4. Step 4: Simplify right side
    423.64x = 239,919.86
  5. Step 5: Solve for x
    x = 239,919.86/423.64
  6. Step 6: Final answer
    x = 566.33

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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.