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Finding the Fourth Proportional to 752.94, 1,039.40 and 553.77

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Solution

The fourth proportional to 752.94, 1,039.40 and 553.77 is: 764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.94 : 1,039.40 = 553.77 : x
  2. Step 2: Convert to fraction form
    752.94/1,039.40 = 553.77/x
  3. Step 3: Cross multiply
    752.94x = 1,039.40 × 553.77
  4. Step 4: Simplify right side
    752.94x = 575,589.92
  5. Step 5: Solve for x
    x = 575,589.92/752.94
  6. Step 6: Final answer
    x = 764.46

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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.