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Finding the Fourth Proportional to 462.82, 691.52 and 446.68

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Solution

The fourth proportional to 462.82, 691.52 and 446.68 is: 667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.82 : 691.52 = 446.68 : x
  2. Step 2: Convert to fraction form
    462.82/691.52 = 446.68/x
  3. Step 3: Cross multiply
    462.82x = 691.52 × 446.68
  4. Step 4: Simplify right side
    462.82x = 308,888.15
  5. Step 5: Solve for x
    x = 308,888.15/462.82
  6. Step 6: Final answer
    x = 667.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.