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Finding the Fourth Proportional to 462.26, 691.76 and 454.98

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Solution

The fourth proportional to 462.26, 691.76 and 454.98 is: 680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 691.76 = 454.98 : x
  2. Step 2: Convert to fraction form
    462.26/691.76 = 454.98/x
  3. Step 3: Cross multiply
    462.26x = 691.76 × 454.98
  4. Step 4: Simplify right side
    462.26x = 314,736.96
  5. Step 5: Solve for x
    x = 314,736.96/462.26
  6. Step 6: Final answer
    x = 680.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.