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Finding the Fourth Proportional to 865.78, 1,292.35 and 751.03

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Solution

The fourth proportional to 865.78, 1,292.35 and 751.03 is: 1,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.78 : 1,292.35 = 751.03 : x
  2. Step 2: Convert to fraction form
    865.78/1,292.35 = 751.03/x
  3. Step 3: Cross multiply
    865.78x = 1,292.35 × 751.03
  4. Step 4: Simplify right side
    865.78x = 970,593.62
  5. Step 5: Solve for x
    x = 970,593.62/865.78
  6. Step 6: Final answer
    x = 1,121.06

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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.