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Finding the Fourth Proportional to 896.34, 1,235.07 and 699.78

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Solution

The fourth proportional to 896.34, 1,235.07 and 699.78 is: 964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.34 : 1,235.07 = 699.78 : x
  2. Step 2: Convert to fraction form
    896.34/1,235.07 = 699.78/x
  3. Step 3: Cross multiply
    896.34x = 1,235.07 × 699.78
  4. Step 4: Simplify right side
    896.34x = 864,277.28
  5. Step 5: Solve for x
    x = 864,277.28/896.34
  6. Step 6: Final answer
    x = 964.23

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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.