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Finding the Fourth Proportional to 424.82, 632.96 and 396.88

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Solution

The fourth proportional to 424.82, 632.96 and 396.88 is: 591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.82 : 632.96 = 396.88 : x
  2. Step 2: Convert to fraction form
    424.82/632.96 = 396.88/x
  3. Step 3: Cross multiply
    424.82x = 632.96 × 396.88
  4. Step 4: Simplify right side
    424.82x = 251,209.16
  5. Step 5: Solve for x
    x = 251,209.16/424.82
  6. Step 6: Final answer
    x = 591.33

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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.