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Finding the Fourth Proportional to 896.48, 1,236.40 and 756.92

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Solution

The fourth proportional to 896.48, 1,236.40 and 756.92 is: 1,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.48 : 1,236.40 = 756.92 : x
  2. Step 2: Convert to fraction form
    896.48/1,236.40 = 756.92/x
  3. Step 3: Cross multiply
    896.48x = 1,236.40 × 756.92
  4. Step 4: Simplify right side
    896.48x = 935,855.89
  5. Step 5: Solve for x
    x = 935,855.89/896.48
  6. Step 6: Final answer
    x = 1,043.92

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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.