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Finding the Fourth Proportional to 894.24, 1,335.89 and 861.84

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Solution

The fourth proportional to 894.24, 1,335.89 and 861.84 is: 1,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.24 : 1,335.89 = 861.84 : x
  2. Step 2: Convert to fraction form
    894.24/1,335.89 = 861.84/x
  3. Step 3: Cross multiply
    894.24x = 1,335.89 × 861.84
  4. Step 4: Simplify right side
    894.24x = 1,151,325.59
  5. Step 5: Solve for x
    x = 1,151,325.59/894.24
  6. Step 6: Final answer
    x = 1,287.49

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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.