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Finding the Fourth Proportional to 754.33, 1,040.80 and 439.53

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Solution

The fourth proportional to 754.33, 1,040.80 and 439.53 is: 606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.33 : 1,040.80 = 439.53 : x
  2. Step 2: Convert to fraction form
    754.33/1,040.80 = 439.53/x
  3. Step 3: Cross multiply
    754.33x = 1,040.80 × 439.53
  4. Step 4: Simplify right side
    754.33x = 457,462.82
  5. Step 5: Solve for x
    x = 457,462.82/754.33
  6. Step 6: Final answer
    x = 606.45

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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.