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Finding the Fourth Proportional to 911.27, 1,257.23 and 596.72

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Solution

The fourth proportional to 911.27, 1,257.23 and 596.72 is: 823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.27 : 1,257.23 = 596.72 : x
  2. Step 2: Convert to fraction form
    911.27/1,257.23 = 596.72/x
  3. Step 3: Cross multiply
    911.27x = 1,257.23 × 596.72
  4. Step 4: Simplify right side
    911.27x = 750,214.29
  5. Step 5: Solve for x
    x = 750,214.29/911.27
  6. Step 6: Final answer
    x = 823.26

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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.