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Finding the Fourth Proportional to 693.88, 1,040.74 and 328.44

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Solution

The fourth proportional to 693.88, 1,040.74 and 328.44 is: 492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.88 : 1,040.74 = 328.44 : x
  2. Step 2: Convert to fraction form
    693.88/1,040.74 = 328.44/x
  3. Step 3: Cross multiply
    693.88x = 1,040.74 × 328.44
  4. Step 4: Simplify right side
    693.88x = 341,820.65
  5. Step 5: Solve for x
    x = 341,820.65/693.88
  6. Step 6: Final answer
    x = 492.62

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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.