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Finding the Fourth Proportional to 752.25, 1,038.62 and 490.73

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Solution

The fourth proportional to 752.25, 1,038.62 and 490.73 is: 677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.25 : 1,038.62 = 490.73 : x
  2. Step 2: Convert to fraction form
    752.25/1,038.62 = 490.73/x
  3. Step 3: Cross multiply
    752.25x = 1,038.62 × 490.73
  4. Step 4: Simplify right side
    752.25x = 509,678.03
  5. Step 5: Solve for x
    x = 509,678.03/752.25
  6. Step 6: Final answer
    x = 677.53

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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.