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Finding the Fourth Proportional to 1,327.50, 1,832.16 and 803.84

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Solution

The fourth proportional to 1,327.50, 1,832.16 and 803.84 is: 1,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.50 : 1,832.16 = 803.84 : x
  2. Step 2: Convert to fraction form
    1,327.50/1,832.16 = 803.84/x
  3. Step 3: Cross multiply
    1,327.50x = 1,832.16 × 803.84
  4. Step 4: Simplify right side
    1,327.50x = 1,472,750.31
  5. Step 5: Solve for x
    x = 1,472,750.31/1,327.50
  6. Step 6: Final answer
    x = 1,109.42

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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.