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Finding the Fourth Proportional to 871.69, 1,306.95 and 409.21

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Solution

The fourth proportional to 871.69, 1,306.95 and 409.21 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.69 : 1,306.95 = 409.21 : x
  2. Step 2: Convert to fraction form
    871.69/1,306.95 = 409.21/x
  3. Step 3: Cross multiply
    871.69x = 1,306.95 × 409.21
  4. Step 4: Simplify right side
    871.69x = 534,817.01
  5. Step 5: Solve for x
    x = 534,817.01/871.69
  6. Step 6: Final answer
    x = 613.54

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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.