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Finding the Fourth Proportional to 459.12, 691.82 and 379.74

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Solution

The fourth proportional to 459.12, 691.82 and 379.74 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 691.82 = 379.74 : x
  2. Step 2: Convert to fraction form
    459.12/691.82 = 379.74/x
  3. Step 3: Cross multiply
    459.12x = 691.82 × 379.74
  4. Step 4: Simplify right side
    459.12x = 262,711.73
  5. Step 5: Solve for x
    x = 262,711.73/459.12
  6. Step 6: Final answer
    x = 572.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.