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Finding the Fourth Proportional to 835.83, 1,255.01 and 721.17

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Solution

The fourth proportional to 835.83, 1,255.01 and 721.17 is: 1,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.83 : 1,255.01 = 721.17 : x
  2. Step 2: Convert to fraction form
    835.83/1,255.01 = 721.17/x
  3. Step 3: Cross multiply
    835.83x = 1,255.01 × 721.17
  4. Step 4: Simplify right side
    835.83x = 905,071.96
  5. Step 5: Solve for x
    x = 905,071.96/835.83
  6. Step 6: Final answer
    x = 1,082.84

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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.