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Finding the Fourth Proportional to 752.27, 1,038.65 and 490.73

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Solution

The fourth proportional to 752.27, 1,038.65 and 490.73 is: 677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.27 : 1,038.65 = 490.73 : x
  2. Step 2: Convert to fraction form
    752.27/1,038.65 = 490.73/x
  3. Step 3: Cross multiply
    752.27x = 1,038.65 × 490.73
  4. Step 4: Simplify right side
    752.27x = 509,689.07
  5. Step 5: Solve for x
    x = 509,689.07/752.27
  6. Step 6: Final answer
    x = 677.54

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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.