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Finding the Fourth Proportional to 774.71, 1,061.06 and 755.27

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Solution

The fourth proportional to 774.71, 1,061.06 and 755.27 is: 1,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.71 : 1,061.06 = 755.27 : x
  2. Step 2: Convert to fraction form
    774.71/1,061.06 = 755.27/x
  3. Step 3: Cross multiply
    774.71x = 1,061.06 × 755.27
  4. Step 4: Simplify right side
    774.71x = 801,383.01
  5. Step 5: Solve for x
    x = 801,383.01/774.71
  6. Step 6: Final answer
    x = 1,034.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.