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Finding the Fourth Proportional to 753.98, 1,040.50 and 439.43

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Solution

The fourth proportional to 753.98, 1,040.50 and 439.43 is: 606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.98 : 1,040.50 = 439.43 : x
  2. Step 2: Convert to fraction form
    753.98/1,040.50 = 439.43/x
  3. Step 3: Cross multiply
    753.98x = 1,040.50 × 439.43
  4. Step 4: Simplify right side
    753.98x = 457,224.72
  5. Step 5: Solve for x
    x = 457,224.72/753.98
  6. Step 6: Final answer
    x = 606.41

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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.