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Finding the Fourth Proportional to 896.03, 1,238.58 and 747.80

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Solution

The fourth proportional to 896.03, 1,238.58 and 747.80 is: 1,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.03 : 1,238.58 = 747.80 : x
  2. Step 2: Convert to fraction form
    896.03/1,238.58 = 747.80/x
  3. Step 3: Cross multiply
    896.03x = 1,238.58 × 747.80
  4. Step 4: Simplify right side
    896.03x = 926,210.12
  5. Step 5: Solve for x
    x = 926,210.12/896.03
  6. Step 6: Final answer
    x = 1,033.68

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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.