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Finding the Fourth Proportional to 748.42, 1,025.69 and 738.76

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Solution

The fourth proportional to 748.42, 1,025.69 and 738.76 is: 1,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.42 : 1,025.69 = 738.76 : x
  2. Step 2: Convert to fraction form
    748.42/1,025.69 = 738.76/x
  3. Step 3: Cross multiply
    748.42x = 1,025.69 × 738.76
  4. Step 4: Simplify right side
    748.42x = 757,738.74
  5. Step 5: Solve for x
    x = 757,738.74/748.42
  6. Step 6: Final answer
    x = 1,012.45

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1.5x scale

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.