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Finding the Fourth Proportional to 922.36, 1,375.33 and 905.98

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Solution

The fourth proportional to 922.36, 1,375.33 and 905.98 is: 1,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.36 : 1,375.33 = 905.98 : x
  2. Step 2: Convert to fraction form
    922.36/1,375.33 = 905.98/x
  3. Step 3: Cross multiply
    922.36x = 1,375.33 × 905.98
  4. Step 4: Simplify right side
    922.36x = 1,246,021.47
  5. Step 5: Solve for x
    x = 1,246,021.47/922.36
  6. Step 6: Final answer
    x = 1,350.91

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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.