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Finding the Fourth Proportional to 775.12, 1,161.56 and 389.84

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Solution

The fourth proportional to 775.12, 1,161.56 and 389.84 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.12 : 1,161.56 = 389.84 : x
  2. Step 2: Convert to fraction form
    775.12/1,161.56 = 389.84/x
  3. Step 3: Cross multiply
    775.12x = 1,161.56 × 389.84
  4. Step 4: Simplify right side
    775.12x = 452,822.55
  5. Step 5: Solve for x
    x = 452,822.55/775.12
  6. Step 6: Final answer
    x = 584.20

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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.