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Finding the Fourth Proportional to 1,327.42, 1,991.13 and 547.86

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Solution

The fourth proportional to 1,327.42, 1,991.13 and 547.86 is: 821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.42 : 1,991.13 = 547.86 : x
  2. Step 2: Convert to fraction form
    1,327.42/1,991.13 = 547.86/x
  3. Step 3: Cross multiply
    1,327.42x = 1,991.13 × 547.86
  4. Step 4: Simplify right side
    1,327.42x = 1,090,857.74
  5. Step 5: Solve for x
    x = 1,090,857.74/1,327.42
  6. Step 6: Final answer
    x = 821.79

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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.