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Finding the Fourth Proportional to 462.36, 637.79 and 337.87

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Solution

The fourth proportional to 462.36, 637.79 and 337.87 is: 466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.36 : 637.79 = 337.87 : x
  2. Step 2: Convert to fraction form
    462.36/637.79 = 337.87/x
  3. Step 3: Cross multiply
    462.36x = 637.79 × 337.87
  4. Step 4: Simplify right side
    462.36x = 215,489.22
  5. Step 5: Solve for x
    x = 215,489.22/462.36
  6. Step 6: Final answer
    x = 466.06

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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.