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Finding the Fourth Proportional to 938.29, 1,407.74 and 451.38

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Solution

The fourth proportional to 938.29, 1,407.74 and 451.38 is: 677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.29 : 1,407.74 = 451.38 : x
  2. Step 2: Convert to fraction form
    938.29/1,407.74 = 451.38/x
  3. Step 3: Cross multiply
    938.29x = 1,407.74 × 451.38
  4. Step 4: Simplify right side
    938.29x = 635,425.68
  5. Step 5: Solve for x
    x = 635,425.68/938.29
  6. Step 6: Final answer
    x = 677.22

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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.