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Finding the Fourth Proportional to 938.08, 1,396.34 and 924.22

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Solution

The fourth proportional to 938.08, 1,396.34 and 924.22 is: 1,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.08 : 1,396.34 = 924.22 : x
  2. Step 2: Convert to fraction form
    938.08/1,396.34 = 924.22/x
  3. Step 3: Cross multiply
    938.08x = 1,396.34 × 924.22
  4. Step 4: Simplify right side
    938.08x = 1,290,525.35
  5. Step 5: Solve for x
    x = 1,290,525.35/938.08
  6. Step 6: Final answer
    x = 1,375.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.