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Finding the Fourth Proportional to 1,330.12, 1,992.42 and 780.61

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Solution

The fourth proportional to 1,330.12, 1,992.42 and 780.61 is: 1,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.12 : 1,992.42 = 780.61 : x
  2. Step 2: Convert to fraction form
    1,330.12/1,992.42 = 780.61/x
  3. Step 3: Cross multiply
    1,330.12x = 1,992.42 × 780.61
  4. Step 4: Simplify right side
    1,330.12x = 1,555,302.98
  5. Step 5: Solve for x
    x = 1,555,302.98/1,330.12
  6. Step 6: Final answer
    x = 1,169.30

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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.