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Finding the Fourth Proportional to 462.98, 638.25 and 315.42

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Solution

The fourth proportional to 462.98, 638.25 and 315.42 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.98 : 638.25 = 315.42 : x
  2. Step 2: Convert to fraction form
    462.98/638.25 = 315.42/x
  3. Step 3: Cross multiply
    462.98x = 638.25 × 315.42
  4. Step 4: Simplify right side
    462.98x = 201,319.21
  5. Step 5: Solve for x
    x = 201,319.21/462.98
  6. Step 6: Final answer
    x = 434.83

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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.