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Finding the Fourth Proportional to 959.53, 1,439.20 and 343.21

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Solution

The fourth proportional to 959.53, 1,439.20 and 343.21 is: 514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.53 : 1,439.20 = 343.21 : x
  2. Step 2: Convert to fraction form
    959.53/1,439.20 = 343.21/x
  3. Step 3: Cross multiply
    959.53x = 1,439.20 × 343.21
  4. Step 4: Simplify right side
    959.53x = 493,947.83
  5. Step 5: Solve for x
    x = 493,947.83/959.53
  6. Step 6: Final answer
    x = 514.78

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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.