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Finding the Fourth Proportional to 843.74, 1,259.17 and 751.48

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Solution

The fourth proportional to 843.74, 1,259.17 and 751.48 is: 1,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.74 : 1,259.17 = 751.48 : x
  2. Step 2: Convert to fraction form
    843.74/1,259.17 = 751.48/x
  3. Step 3: Cross multiply
    843.74x = 1,259.17 × 751.48
  4. Step 4: Simplify right side
    843.74x = 946,235.78
  5. Step 5: Solve for x
    x = 946,235.78/843.74
  6. Step 6: Final answer
    x = 1,121.48

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1.5x scale

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.