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Finding the Fourth Proportional to 729.73, 1,005.91 and 540.19

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Solution

The fourth proportional to 729.73, 1,005.91 and 540.19 is: 744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.73 : 1,005.91 = 540.19 : x
  2. Step 2: Convert to fraction form
    729.73/1,005.91 = 540.19/x
  3. Step 3: Cross multiply
    729.73x = 1,005.91 × 540.19
  4. Step 4: Simplify right side
    729.73x = 543,382.52
  5. Step 5: Solve for x
    x = 543,382.52/729.73
  6. Step 6: Final answer
    x = 744.64

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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.