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Finding the Fourth Proportional to 959.49, 1,438.83 and 411.39

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Solution

The fourth proportional to 959.49, 1,438.83 and 411.39 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.49 : 1,438.83 = 411.39 : x
  2. Step 2: Convert to fraction form
    959.49/1,438.83 = 411.39/x
  3. Step 3: Cross multiply
    959.49x = 1,438.83 × 411.39
  4. Step 4: Simplify right side
    959.49x = 591,920.27
  5. Step 5: Solve for x
    x = 591,920.27/959.49
  6. Step 6: Final answer
    x = 616.91

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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.