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Finding the Fourth Proportional to 462.91, 637.94 and 331.69

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Solution

The fourth proportional to 462.91, 637.94 and 331.69 is: 457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.91 : 637.94 = 331.69 : x
  2. Step 2: Convert to fraction form
    462.91/637.94 = 331.69/x
  3. Step 3: Cross multiply
    462.91x = 637.94 × 331.69
  4. Step 4: Simplify right side
    462.91x = 211,598.70
  5. Step 5: Solve for x
    x = 211,598.70/462.91
  6. Step 6: Final answer
    x = 457.10

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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.