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Finding the Fourth Proportional to 693.96, 1,040.94 and 439.08

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Solution

The fourth proportional to 693.96, 1,040.94 and 439.08 is: 658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.96 : 1,040.94 = 439.08 : x
  2. Step 2: Convert to fraction form
    693.96/1,040.94 = 439.08/x
  3. Step 3: Cross multiply
    693.96x = 1,040.94 × 439.08
  4. Step 4: Simplify right side
    693.96x = 457,055.94
  5. Step 5: Solve for x
    x = 457,055.94/693.96
  6. Step 6: Final answer
    x = 658.62

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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.