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Finding the Fourth Proportional to 729.76, 1,094.49 and 267.38

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Solution

The fourth proportional to 729.76, 1,094.49 and 267.38 is: 401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.76 : 1,094.49 = 267.38 : x
  2. Step 2: Convert to fraction form
    729.76/1,094.49 = 267.38/x
  3. Step 3: Cross multiply
    729.76x = 1,094.49 × 267.38
  4. Step 4: Simplify right side
    729.76x = 292,639.54
  5. Step 5: Solve for x
    x = 292,639.54/729.76
  6. Step 6: Final answer
    x = 401.01

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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.