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Finding the Fourth Proportional to 729.47, 1,093.22 and 266.81

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Solution

The fourth proportional to 729.47, 1,093.22 and 266.81 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.47 : 1,093.22 = 266.81 : x
  2. Step 2: Convert to fraction form
    729.47/1,093.22 = 266.81/x
  3. Step 3: Cross multiply
    729.47x = 1,093.22 × 266.81
  4. Step 4: Simplify right side
    729.47x = 291,682.03
  5. Step 5: Solve for x
    x = 291,682.03/729.47
  6. Step 6: Final answer
    x = 399.85

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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.