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Finding the Fourth Proportional to 896.70, 1,336.97 and 866.13

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Solution

The fourth proportional to 896.70, 1,336.97 and 866.13 is: 1,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.70 : 1,336.97 = 866.13 : x
  2. Step 2: Convert to fraction form
    896.70/1,336.97 = 866.13/x
  3. Step 3: Cross multiply
    896.70x = 1,336.97 × 866.13
  4. Step 4: Simplify right side
    896.70x = 1,157,985.50
  5. Step 5: Solve for x
    x = 1,157,985.50/896.70
  6. Step 6: Final answer
    x = 1,291.39

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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.