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Finding the Fourth Proportional to 772.71, 1,150.10 and 755.70

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Solution

The fourth proportional to 772.71, 1,150.10 and 755.70 is: 1,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.71 : 1,150.10 = 755.70 : x
  2. Step 2: Convert to fraction form
    772.71/1,150.10 = 755.70/x
  3. Step 3: Cross multiply
    772.71x = 1,150.10 × 755.70
  4. Step 4: Simplify right side
    772.71x = 869,126.79
  5. Step 5: Solve for x
    x = 869,126.79/772.71
  6. Step 6: Final answer
    x = 1,124.78

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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.