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Finding the Fourth Proportional to 775.95, 1,161.62 and 512.70

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Solution

The fourth proportional to 775.95, 1,161.62 and 512.70 is: 767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.95 : 1,161.62 = 512.70 : x
  2. Step 2: Convert to fraction form
    775.95/1,161.62 = 512.70/x
  3. Step 3: Cross multiply
    775.95x = 1,161.62 × 512.70
  4. Step 4: Simplify right side
    775.95x = 595,560.01
  5. Step 5: Solve for x
    x = 595,560.01/775.95
  6. Step 6: Final answer
    x = 767.52

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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.