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Finding the Fourth Proportional to 463.12, 637.64 and 419.92

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Solution

The fourth proportional to 463.12, 637.64 and 419.92 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.12 : 637.64 = 419.92 : x
  2. Step 2: Convert to fraction form
    463.12/637.64 = 419.92/x
  3. Step 3: Cross multiply
    463.12x = 637.64 × 419.92
  4. Step 4: Simplify right side
    463.12x = 267,757.79
  5. Step 5: Solve for x
    x = 267,757.79/463.12
  6. Step 6: Final answer
    x = 578.16

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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.