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Finding the Fourth Proportional to 1,327.91, 1,832.55 and 730.42

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Solution

The fourth proportional to 1,327.91, 1,832.55 and 730.42 is: 1,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.91 : 1,832.55 = 730.42 : x
  2. Step 2: Convert to fraction form
    1,327.91/1,832.55 = 730.42/x
  3. Step 3: Cross multiply
    1,327.91x = 1,832.55 × 730.42
  4. Step 4: Simplify right side
    1,327.91x = 1,338,531.17
  5. Step 5: Solve for x
    x = 1,338,531.17/1,327.91
  6. Step 6: Final answer
    x = 1,008.00

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