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Finding the Fourth Proportional to 938.11, 1,405.90 and 450.19

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Solution

The fourth proportional to 938.11, 1,405.90 and 450.19 is: 674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.11 : 1,405.90 = 450.19 : x
  2. Step 2: Convert to fraction form
    938.11/1,405.90 = 450.19/x
  3. Step 3: Cross multiply
    938.11x = 1,405.90 × 450.19
  4. Step 4: Simplify right side
    938.11x = 632,922.12
  5. Step 5: Solve for x
    x = 632,922.12/938.11
  6. Step 6: Final answer
    x = 674.68

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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.