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Finding the Fourth Proportional to 896.97, 1,238.25 and 523.83

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Solution

The fourth proportional to 896.97, 1,238.25 and 523.83 is: 723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.97 : 1,238.25 = 523.83 : x
  2. Step 2: Convert to fraction form
    896.97/1,238.25 = 523.83/x
  3. Step 3: Cross multiply
    896.97x = 1,238.25 × 523.83
  4. Step 4: Simplify right side
    896.97x = 648,639.11
  5. Step 5: Solve for x
    x = 648,639.11/896.97
  6. Step 6: Final answer
    x = 723.14

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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.