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Finding the Fourth Proportional to 919.97, 1,267.48 and 837.96

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Solution

The fourth proportional to 919.97, 1,267.48 and 837.96 is: 1,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.97 : 1,267.48 = 837.96 : x
  2. Step 2: Convert to fraction form
    919.97/1,267.48 = 837.96/x
  3. Step 3: Cross multiply
    919.97x = 1,267.48 × 837.96
  4. Step 4: Simplify right side
    919.97x = 1,062,097.54
  5. Step 5: Solve for x
    x = 1,062,097.54/919.97
  6. Step 6: Final answer
    x = 1,154.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.