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Finding the Fourth Proportional to 871.77, 1,308.62 and 460.80

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Solution

The fourth proportional to 871.77, 1,308.62 and 460.80 is: 691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.77 : 1,308.62 = 460.80 : x
  2. Step 2: Convert to fraction form
    871.77/1,308.62 = 460.80/x
  3. Step 3: Cross multiply
    871.77x = 1,308.62 × 460.80
  4. Step 4: Simplify right side
    871.77x = 603,012.10
  5. Step 5: Solve for x
    x = 603,012.10/871.77
  6. Step 6: Final answer
    x = 691.71

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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.