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Finding the Fourth Proportional to 1,186.46, 1,636.34 and 891.22

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Solution

The fourth proportional to 1,186.46, 1,636.34 and 891.22 is: 1,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.46 : 1,636.34 = 891.22 : x
  2. Step 2: Convert to fraction form
    1,186.46/1,636.34 = 891.22/x
  3. Step 3: Cross multiply
    1,186.46x = 1,636.34 × 891.22
  4. Step 4: Simplify right side
    1,186.46x = 1,458,330.39
  5. Step 5: Solve for x
    x = 1,458,330.39/1,186.46
  6. Step 6: Final answer
    x = 1,229.14

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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.