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Finding the Fourth Proportional to 752.89, 1,039.13 and 490.90

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Solution

The fourth proportional to 752.89, 1,039.13 and 490.90 is: 677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.89 : 1,039.13 = 490.90 : x
  2. Step 2: Convert to fraction form
    752.89/1,039.13 = 490.90/x
  3. Step 3: Cross multiply
    752.89x = 1,039.13 × 490.90
  4. Step 4: Simplify right side
    752.89x = 510,106.46
  5. Step 5: Solve for x
    x = 510,106.46/752.89
  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.