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Finding the Fourth Proportional to 843.51, 1,263.78 and 751.78

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Solution

The fourth proportional to 843.51, 1,263.78 and 751.78 is: 1,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.51 : 1,263.78 = 751.78 : x
  2. Step 2: Convert to fraction form
    843.51/1,263.78 = 751.78/x
  3. Step 3: Cross multiply
    843.51x = 1,263.78 × 751.78
  4. Step 4: Simplify right side
    843.51x = 950,082.37
  5. Step 5: Solve for x
    x = 950,082.37/843.51
  6. Step 6: Final answer
    x = 1,126.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.