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Finding the Fourth Proportional to 693.28, 1,037.22 and 443.08

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Solution

The fourth proportional to 693.28, 1,037.22 and 443.08 is: 662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.28 : 1,037.22 = 443.08 : x
  2. Step 2: Convert to fraction form
    693.28/1,037.22 = 443.08/x
  3. Step 3: Cross multiply
    693.28x = 1,037.22 × 443.08
  4. Step 4: Simplify right side
    693.28x = 459,571.44
  5. Step 5: Solve for x
    x = 459,571.44/693.28
  6. Step 6: Final answer
    x = 662.89

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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.