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Finding the Fourth Proportional to 728.83, 1,093.24 and 181.02

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Solution

The fourth proportional to 728.83, 1,093.24 and 181.02 is: 271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.83 : 1,093.24 = 181.02 : x
  2. Step 2: Convert to fraction form
    728.83/1,093.24 = 181.02/x
  3. Step 3: Cross multiply
    728.83x = 1,093.24 × 181.02
  4. Step 4: Simplify right side
    728.83x = 197,899.30
  5. Step 5: Solve for x
    x = 197,899.30/728.83
  6. Step 6: Final answer
    x = 271.53

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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.