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Finding the Fourth Proportional to 944.98, 1,304.11 and 525.33

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Solution

The fourth proportional to 944.98, 1,304.11 and 525.33 is: 724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.98 : 1,304.11 = 525.33 : x
  2. Step 2: Convert to fraction form
    944.98/1,304.11 = 525.33/x
  3. Step 3: Cross multiply
    944.98x = 1,304.11 × 525.33
  4. Step 4: Simplify right side
    944.98x = 685,078.96
  5. Step 5: Solve for x
    x = 685,078.96/944.98
  6. Step 6: Final answer
    x = 724.97

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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.