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Finding the Fourth Proportional to 871.19, 1,306.77 and 409.28

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Solution

The fourth proportional to 871.19, 1,306.77 and 409.28 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.19 : 1,306.77 = 409.28 : x
  2. Step 2: Convert to fraction form
    871.19/1,306.77 = 409.28/x
  3. Step 3: Cross multiply
    871.19x = 1,306.77 × 409.28
  4. Step 4: Simplify right side
    871.19x = 534,828.29
  5. Step 5: Solve for x
    x = 534,828.29/871.19
  6. Step 6: Final answer
    x = 613.91

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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.