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Finding the Fourth Proportional to 871.68, 1,305.92 and 655.36

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Solution

The fourth proportional to 871.68, 1,305.92 and 655.36 is: 981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.68 : 1,305.92 = 655.36 : x
  2. Step 2: Convert to fraction form
    871.68/1,305.92 = 655.36/x
  3. Step 3: Cross multiply
    871.68x = 1,305.92 × 655.36
  4. Step 4: Simplify right side
    871.68x = 855,847.73
  5. Step 5: Solve for x
    x = 855,847.73/871.68
  6. Step 6: Final answer
    x = 981.84

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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.