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Finding the Fourth Proportional to 1,327.65, 1,832.78 and 830.61

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Solution

The fourth proportional to 1,327.65, 1,832.78 and 830.61 is: 1,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.65 : 1,832.78 = 830.61 : x
  2. Step 2: Convert to fraction form
    1,327.65/1,832.78 = 830.61/x
  3. Step 3: Cross multiply
    1,327.65x = 1,832.78 × 830.61
  4. Step 4: Simplify right side
    1,327.65x = 1,522,321.24
  5. Step 5: Solve for x
    x = 1,522,321.24/1,327.65
  6. Step 6: Final answer
    x = 1,146.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.