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Finding the Fourth Proportional to 920.25, 1,261.82 and 892.91

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Solution

The fourth proportional to 920.25, 1,261.82 and 892.91 is: 1,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.25 : 1,261.82 = 892.91 : x
  2. Step 2: Convert to fraction form
    920.25/1,261.82 = 892.91/x
  3. Step 3: Cross multiply
    920.25x = 1,261.82 × 892.91
  4. Step 4: Simplify right side
    920.25x = 1,126,680.92
  5. Step 5: Solve for x
    x = 1,126,680.92/920.25
  6. Step 6: Final answer
    x = 1,224.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.