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Finding the Fourth Proportional to 894.69, 1,242.09 and 867.96

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Solution

The fourth proportional to 894.69, 1,242.09 and 867.96 is: 1,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.69 : 1,242.09 = 867.96 : x
  2. Step 2: Convert to fraction form
    894.69/1,242.09 = 867.96/x
  3. Step 3: Cross multiply
    894.69x = 1,242.09 × 867.96
  4. Step 4: Simplify right side
    894.69x = 1,078,084.44
  5. Step 5: Solve for x
    x = 1,078,084.44/894.69
  6. Step 6: Final answer
    x = 1,204.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.