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Finding the Fourth Proportional to 887.16, 1,212.89 and 853.14

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Solution

The fourth proportional to 887.16, 1,212.89 and 853.14 is: 1,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.16 : 1,212.89 = 853.14 : x
  2. Step 2: Convert to fraction form
    887.16/1,212.89 = 853.14/x
  3. Step 3: Cross multiply
    887.16x = 1,212.89 × 853.14
  4. Step 4: Simplify right side
    887.16x = 1,034,760.71
  5. Step 5: Solve for x
    x = 1,034,760.71/887.16
  6. Step 6: Final answer
    x = 1,166.37

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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.