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Finding the Fourth Proportional to 834.22, 1,149.28 and 538.98

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Solution

The fourth proportional to 834.22, 1,149.28 and 538.98 is: 742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.22 : 1,149.28 = 538.98 : x
  2. Step 2: Convert to fraction form
    834.22/1,149.28 = 538.98/x
  3. Step 3: Cross multiply
    834.22x = 1,149.28 × 538.98
  4. Step 4: Simplify right side
    834.22x = 619,438.93
  5. Step 5: Solve for x
    x = 619,438.93/834.22
  6. Step 6: Final answer
    x = 742.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.