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Finding the Fourth Proportional to 927.33, 1,271.60 and 896.28

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Solution

The fourth proportional to 927.33, 1,271.60 and 896.28 is: 1,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.33 : 1,271.60 = 896.28 : x
  2. Step 2: Convert to fraction form
    927.33/1,271.60 = 896.28/x
  3. Step 3: Cross multiply
    927.33x = 1,271.60 × 896.28
  4. Step 4: Simplify right side
    927.33x = 1,139,705.17
  5. Step 5: Solve for x
    x = 1,139,705.17/927.33
  6. Step 6: Final answer
    x = 1,229.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.