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Finding the Fourth Proportional to 729.08, 1,093.70 and 296.20

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Solution

The fourth proportional to 729.08, 1,093.70 and 296.20 is: 444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.08 : 1,093.70 = 296.20 : x
  2. Step 2: Convert to fraction form
    729.08/1,093.70 = 296.20/x
  3. Step 3: Cross multiply
    729.08x = 1,093.70 × 296.20
  4. Step 4: Simplify right side
    729.08x = 323,953.94
  5. Step 5: Solve for x
    x = 323,953.94/729.08
  6. Step 6: Final answer
    x = 444.33

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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.