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Finding the Fourth Proportional to 894.80, 1,233.96 and 698.24

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Solution

The fourth proportional to 894.80, 1,233.96 and 698.24 is: 962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.80 : 1,233.96 = 698.24 : x
  2. Step 2: Convert to fraction form
    894.80/1,233.96 = 698.24/x
  3. Step 3: Cross multiply
    894.80x = 1,233.96 × 698.24
  4. Step 4: Simplify right side
    894.80x = 861,600.23
  5. Step 5: Solve for x
    x = 861,600.23/894.80
  6. Step 6: Final answer
    x = 962.90

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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.