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Finding the Fourth Proportional to 896.22, 1,227.67 and 886.50

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Solution

The fourth proportional to 896.22, 1,227.67 and 886.50 is: 1,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.22 : 1,227.67 = 886.50 : x
  2. Step 2: Convert to fraction form
    896.22/1,227.67 = 886.50/x
  3. Step 3: Cross multiply
    896.22x = 1,227.67 × 886.50
  4. Step 4: Simplify right side
    896.22x = 1,088,327.24
  5. Step 5: Solve for x
    x = 1,088,327.24/896.22
  6. Step 6: Final answer
    x = 1,214.35

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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.