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Finding the Fourth Proportional to 729.44, 1,094.60 and 383.02

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Solution

The fourth proportional to 729.44, 1,094.60 and 383.02 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,094.60 = 383.02 : x
  2. Step 2: Convert to fraction form
    729.44/1,094.60 = 383.02/x
  3. Step 3: Cross multiply
    729.44x = 1,094.60 × 383.02
  4. Step 4: Simplify right side
    729.44x = 419,251.57
  5. Step 5: Solve for x
    x = 419,251.57/729.44
  6. Step 6: Final answer
    x = 574.76

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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.