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Finding the Fourth Proportional to 896.52, 1,238.88 and 648.60

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Solution

The fourth proportional to 896.52, 1,238.88 and 648.60 is: 896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.52 : 1,238.88 = 648.60 : x
  2. Step 2: Convert to fraction form
    896.52/1,238.88 = 648.60/x
  3. Step 3: Cross multiply
    896.52x = 1,238.88 × 648.60
  4. Step 4: Simplify right side
    896.52x = 803,537.57
  5. Step 5: Solve for x
    x = 803,537.57/896.52
  6. Step 6: Final answer
    x = 896.29

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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.