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Finding the Fourth Proportional to 758.26, 1,132.28 and 750.22

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Solution

The fourth proportional to 758.26, 1,132.28 and 750.22 is: 1,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.26 : 1,132.28 = 750.22 : x
  2. Step 2: Convert to fraction form
    758.26/1,132.28 = 750.22/x
  3. Step 3: Cross multiply
    758.26x = 1,132.28 × 750.22
  4. Step 4: Simplify right side
    758.26x = 849,459.10
  5. Step 5: Solve for x
    x = 849,459.10/758.26
  6. Step 6: Final answer
    x = 1,120.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.