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Finding the Fourth Proportional to 1,327.53, 1,832.01 and 803.85

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Solution

The fourth proportional to 1,327.53, 1,832.01 and 803.85 is: 1,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.53 : 1,832.01 = 803.85 : x
  2. Step 2: Convert to fraction form
    1,327.53/1,832.01 = 803.85/x
  3. Step 3: Cross multiply
    1,327.53x = 1,832.01 × 803.85
  4. Step 4: Simplify right side
    1,327.53x = 1,472,661.24
  5. Step 5: Solve for x
    x = 1,472,661.24/1,327.53
  6. Step 6: Final answer
    x = 1,109.32

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1.5x scale

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.