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Finding the Fourth Proportional to 693.41, 1,040.12 and 449.81

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Solution

The fourth proportional to 693.41, 1,040.12 and 449.81 is: 674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.41 : 1,040.12 = 449.81 : x
  2. Step 2: Convert to fraction form
    693.41/1,040.12 = 449.81/x
  3. Step 3: Cross multiply
    693.41x = 1,040.12 × 449.81
  4. Step 4: Simplify right side
    693.41x = 467,848.93
  5. Step 5: Solve for x
    x = 467,848.93/693.41
  6. Step 6: Final answer
    x = 674.71

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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.