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Finding the Fourth Proportional to 871.95, 1,306.77 and 482.04

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Solution

The fourth proportional to 871.95, 1,306.77 and 482.04 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.95 : 1,306.77 = 482.04 : x
  2. Step 2: Convert to fraction form
    871.95/1,306.77 = 482.04/x
  3. Step 3: Cross multiply
    871.95x = 1,306.77 × 482.04
  4. Step 4: Simplify right side
    871.95x = 629,915.41
  5. Step 5: Solve for x
    x = 629,915.41/871.95
  6. Step 6: Final answer
    x = 722.42

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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.