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Finding the Fourth Proportional to 871.58, 1,306.64 and 409.12

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Solution

The fourth proportional to 871.58, 1,306.64 and 409.12 is: 613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.58 : 1,306.64 = 409.12 : x
  2. Step 2: Convert to fraction form
    871.58/1,306.64 = 409.12/x
  3. Step 3: Cross multiply
    871.58x = 1,306.64 × 409.12
  4. Step 4: Simplify right side
    871.58x = 534,572.56
  5. Step 5: Solve for x
    x = 534,572.56/871.58
  6. Step 6: Final answer
    x = 613.34

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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.