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Finding the Fourth Proportional to 959.94, 1,439.76 and 343.59

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Solution

The fourth proportional to 959.94, 1,439.76 and 343.59 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.94 : 1,439.76 = 343.59 : x
  2. Step 2: Convert to fraction form
    959.94/1,439.76 = 343.59/x
  3. Step 3: Cross multiply
    959.94x = 1,439.76 × 343.59
  4. Step 4: Simplify right side
    959.94x = 494,687.14
  5. Step 5: Solve for x
    x = 494,687.14/959.94
  6. Step 6: Final answer
    x = 515.33

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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.