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Finding the Fourth Proportional to 462.85, 638.36 and 331.93

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Solution

The fourth proportional to 462.85, 638.36 and 331.93 is: 457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.85 : 638.36 = 331.93 : x
  2. Step 2: Convert to fraction form
    462.85/638.36 = 331.93/x
  3. Step 3: Cross multiply
    462.85x = 638.36 × 331.93
  4. Step 4: Simplify right side
    462.85x = 211,889.18
  5. Step 5: Solve for x
    x = 211,889.18/462.85
  6. Step 6: Final answer
    x = 457.79

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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.