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Finding the Fourth Proportional to 459.14, 691.82 and 379.76

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Solution

The fourth proportional to 459.14, 691.82 and 379.76 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 691.82 = 379.76 : x
  2. Step 2: Convert to fraction form
    459.14/691.82 = 379.76/x
  3. Step 3: Cross multiply
    459.14x = 691.82 × 379.76
  4. Step 4: Simplify right side
    459.14x = 262,725.56
  5. Step 5: Solve for x
    x = 262,725.56/459.14
  6. Step 6: Final answer
    x = 572.21

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Why These Related Problems?

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