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Finding the Fourth Proportional to 871.69, 1,308.07 and 461.14

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Solution

The fourth proportional to 871.69, 1,308.07 and 461.14 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.69 : 1,308.07 = 461.14 : x
  2. Step 2: Convert to fraction form
    871.69/1,308.07 = 461.14/x
  3. Step 3: Cross multiply
    871.69x = 1,308.07 × 461.14
  4. Step 4: Simplify right side
    871.69x = 603,195.71
  5. Step 5: Solve for x
    x = 603,195.71/871.69
  6. Step 6: Final answer
    x = 691.99

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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.