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Finding the Fourth Proportional to 752.55, 1,038.33 and 449.67

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Solution

The fourth proportional to 752.55, 1,038.33 and 449.67 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.55 : 1,038.33 = 449.67 : x
  2. Step 2: Convert to fraction form
    752.55/1,038.33 = 449.67/x
  3. Step 3: Cross multiply
    752.55x = 1,038.33 × 449.67
  4. Step 4: Simplify right side
    752.55x = 466,905.85
  5. Step 5: Solve for x
    x = 466,905.85/752.55
  6. Step 6: Final answer
    x = 620.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.