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Finding the Fourth Proportional to 775.53, 1,062.18 and 738.54

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Solution

The fourth proportional to 775.53, 1,062.18 and 738.54 is: 1,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.53 : 1,062.18 = 738.54 : x
  2. Step 2: Convert to fraction form
    775.53/1,062.18 = 738.54/x
  3. Step 3: Cross multiply
    775.53x = 1,062.18 × 738.54
  4. Step 4: Simplify right side
    775.53x = 784,462.42
  5. Step 5: Solve for x
    x = 784,462.42/775.53
  6. Step 6: Final answer
    x = 1,011.52

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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.