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Finding the Fourth Proportional to 1,321.78, 1,982.46 and 591.16

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Solution

The fourth proportional to 1,321.78, 1,982.46 and 591.16 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.78 : 1,982.46 = 591.16 : x
  2. Step 2: Convert to fraction form
    1,321.78/1,982.46 = 591.16/x
  3. Step 3: Cross multiply
    1,321.78x = 1,982.46 × 591.16
  4. Step 4: Simplify right side
    1,321.78x = 1,171,951.05
  5. Step 5: Solve for x
    x = 1,171,951.05/1,321.78
  6. Step 6: Final answer
    x = 886.65

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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.