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Finding the Fourth Proportional to 463.05, 637.54 and 392.96

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Solution

The fourth proportional to 463.05, 637.54 and 392.96 is: 541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 637.54 = 392.96 : x
  2. Step 2: Convert to fraction form
    463.05/637.54 = 392.96/x
  3. Step 3: Cross multiply
    463.05x = 637.54 × 392.96
  4. Step 4: Simplify right side
    463.05x = 250,527.72
  5. Step 5: Solve for x
    x = 250,527.72/463.05
  6. Step 6: Final answer
    x = 541.04

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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.