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Finding the Fourth Proportional to 896.01, 1,236.41 and 709.96

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Solution

The fourth proportional to 896.01, 1,236.41 and 709.96 is: 979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.01 : 1,236.41 = 709.96 : x
  2. Step 2: Convert to fraction form
    896.01/1,236.41 = 709.96/x
  3. Step 3: Cross multiply
    896.01x = 1,236.41 × 709.96
  4. Step 4: Simplify right side
    896.01x = 877,801.64
  5. Step 5: Solve for x
    x = 877,801.64/896.01
  6. Step 6: Final answer
    x = 979.68

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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.