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Finding the Fourth Proportional to 1,104.80, 1,657.84 and 961.44

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Solution

The fourth proportional to 1,104.80, 1,657.84 and 961.44 is: 1,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.80 : 1,657.84 = 961.44 : x
  2. Step 2: Convert to fraction form
    1,104.80/1,657.84 = 961.44/x
  3. Step 3: Cross multiply
    1,104.80x = 1,657.84 × 961.44
  4. Step 4: Simplify right side
    1,104.80x = 1,593,913.69
  5. Step 5: Solve for x
    x = 1,593,913.69/1,104.80
  6. Step 6: Final answer
    x = 1,442.72

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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.