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Finding the Fourth Proportional to 775.68, 1,161.31 and 702.69

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Solution

The fourth proportional to 775.68, 1,161.31 and 702.69 is: 1,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.68 : 1,161.31 = 702.69 : x
  2. Step 2: Convert to fraction form
    775.68/1,161.31 = 702.69/x
  3. Step 3: Cross multiply
    775.68x = 1,161.31 × 702.69
  4. Step 4: Simplify right side
    775.68x = 816,040.92
  5. Step 5: Solve for x
    x = 816,040.92/775.68
  6. Step 6: Final answer
    x = 1,052.03

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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.