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Finding the Fourth Proportional to 896.33, 1,236.54 and 601.68

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Solution

The fourth proportional to 896.33, 1,236.54 and 601.68 is: 830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.33 : 1,236.54 = 601.68 : x
  2. Step 2: Convert to fraction form
    896.33/1,236.54 = 601.68/x
  3. Step 3: Cross multiply
    896.33x = 1,236.54 × 601.68
  4. Step 4: Simplify right side
    896.33x = 744,001.39
  5. Step 5: Solve for x
    x = 744,001.39/896.33
  6. Step 6: Final answer
    x = 830.06

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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.