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Finding the Fourth Proportional to 462.96, 639.01 and 276.57

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Solution

The fourth proportional to 462.96, 639.01 and 276.57 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 639.01 = 276.57 : x
  2. Step 2: Convert to fraction form
    462.96/639.01 = 276.57/x
  3. Step 3: Cross multiply
    462.96x = 639.01 × 276.57
  4. Step 4: Simplify right side
    462.96x = 176,729.61
  5. Step 5: Solve for x
    x = 176,729.61/462.96
  6. Step 6: Final answer
    x = 381.74

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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.