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Finding the Fourth Proportional to 754.28, 1,130.81 and 693.53

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Solution

The fourth proportional to 754.28, 1,130.81 and 693.53 is: 1,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.28 : 1,130.81 = 693.53 : x
  2. Step 2: Convert to fraction form
    754.28/1,130.81 = 693.53/x
  3. Step 3: Cross multiply
    754.28x = 1,130.81 × 693.53
  4. Step 4: Simplify right side
    754.28x = 784,241.54
  5. Step 5: Solve for x
    x = 784,241.54/754.28
  6. Step 6: Final answer
    x = 1,039.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.