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Finding the Fourth Proportional to 729.06, 1,093.64 and 266.95

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Solution

The fourth proportional to 729.06, 1,093.64 and 266.95 is: 400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.06 : 1,093.64 = 266.95 : x
  2. Step 2: Convert to fraction form
    729.06/1,093.64 = 266.95/x
  3. Step 3: Cross multiply
    729.06x = 1,093.64 × 266.95
  4. Step 4: Simplify right side
    729.06x = 291,947.20
  5. Step 5: Solve for x
    x = 291,947.20/729.06
  6. Step 6: Final answer
    x = 400.44

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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.