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Finding the Fourth Proportional to 694.18, 1,040.72 and 447.54

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Solution

The fourth proportional to 694.18, 1,040.72 and 447.54 is: 670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.18 : 1,040.72 = 447.54 : x
  2. Step 2: Convert to fraction form
    694.18/1,040.72 = 447.54/x
  3. Step 3: Cross multiply
    694.18x = 1,040.72 × 447.54
  4. Step 4: Simplify right side
    694.18x = 465,763.83
  5. Step 5: Solve for x
    x = 465,763.83/694.18
  6. Step 6: Final answer
    x = 670.96

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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.