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Finding the Fourth Proportional to 781.27, 1,075.96 and 764.26

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Solution

The fourth proportional to 781.27, 1,075.96 and 764.26 is: 1,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.27 : 1,075.96 = 764.26 : x
  2. Step 2: Convert to fraction form
    781.27/1,075.96 = 764.26/x
  3. Step 3: Cross multiply
    781.27x = 1,075.96 × 764.26
  4. Step 4: Simplify right side
    781.27x = 822,311.46
  5. Step 5: Solve for x
    x = 822,311.46/781.27
  6. Step 6: Final answer
    x = 1,052.54

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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.