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Finding the Fourth Proportional to 1,339.68, 1,998.96 and 1,193.52

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Solution

The fourth proportional to 1,339.68, 1,998.96 and 1,193.52 is: 1,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.68 : 1,998.96 = 1,193.52 : x
  2. Step 2: Convert to fraction form
    1,339.68/1,998.96 = 1,193.52/x
  3. Step 3: Cross multiply
    1,339.68x = 1,998.96 × 1,193.52
  4. Step 4: Simplify right side
    1,339.68x = 2,385,798.74
  5. Step 5: Solve for x
    x = 2,385,798.74/1,339.68
  6. Step 6: Final answer
    x = 1,780.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.