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Finding the Fourth Proportional to 913.26, 1,262.91 and 896.85

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Solution

The fourth proportional to 913.26, 1,262.91 and 896.85 is: 1,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,262.91 = 896.85 : x
  2. Step 2: Convert to fraction form
    913.26/1,262.91 = 896.85/x
  3. Step 3: Cross multiply
    913.26x = 1,262.91 × 896.85
  4. Step 4: Simplify right side
    913.26x = 1,132,640.83
  5. Step 5: Solve for x
    x = 1,132,640.83/913.26
  6. Step 6: Final answer
    x = 1,240.22

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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.