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Finding the Fourth Proportional to 754.24, 1,041.60 and 752.80

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Solution

The fourth proportional to 754.24, 1,041.60 and 752.80 is: 1,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.24 : 1,041.60 = 752.80 : x
  2. Step 2: Convert to fraction form
    754.24/1,041.60 = 752.80/x
  3. Step 3: Cross multiply
    754.24x = 1,041.60 × 752.80
  4. Step 4: Simplify right side
    754.24x = 784,116.48
  5. Step 5: Solve for x
    x = 784,116.48/754.24
  6. Step 6: Final answer
    x = 1,039.61

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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.