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Finding the Fourth Proportional to 896.12, 1,335.38 and 866.76

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Solution

The fourth proportional to 896.12, 1,335.38 and 866.76 is: 1,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.12 : 1,335.38 = 866.76 : x
  2. Step 2: Convert to fraction form
    896.12/1,335.38 = 866.76/x
  3. Step 3: Cross multiply
    896.12x = 1,335.38 × 866.76
  4. Step 4: Simplify right side
    896.12x = 1,157,453.97
  5. Step 5: Solve for x
    x = 1,157,453.97/896.12
  6. Step 6: Final answer
    x = 1,291.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.