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Finding the Fourth Proportional to 896.29, 1,235.42 and 699.46

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Solution

The fourth proportional to 896.29, 1,235.42 and 699.46 is: 964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.29 : 1,235.42 = 699.46 : x
  2. Step 2: Convert to fraction form
    896.29/1,235.42 = 699.46/x
  3. Step 3: Cross multiply
    896.29x = 1,235.42 × 699.46
  4. Step 4: Simplify right side
    896.29x = 864,122.91
  5. Step 5: Solve for x
    x = 864,122.91/896.29
  6. Step 6: Final answer
    x = 964.11

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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.