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Finding the Fourth Proportional to 462.85, 638.92 and 315.57

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Solution

The fourth proportional to 462.85, 638.92 and 315.57 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.85 : 638.92 = 315.57 : x
  2. Step 2: Convert to fraction form
    462.85/638.92 = 315.57/x
  3. Step 3: Cross multiply
    462.85x = 638.92 × 315.57
  4. Step 4: Simplify right side
    462.85x = 201,623.98
  5. Step 5: Solve for x
    x = 201,623.98/462.85
  6. Step 6: Final answer
    x = 435.61

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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.