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Finding the Fourth Proportional to 906.87, 1,242.11 and 853.68

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Solution

The fourth proportional to 906.87, 1,242.11 and 853.68 is: 1,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.87 : 1,242.11 = 853.68 : x
  2. Step 2: Convert to fraction form
    906.87/1,242.11 = 853.68/x
  3. Step 3: Cross multiply
    906.87x = 1,242.11 × 853.68
  4. Step 4: Simplify right side
    906.87x = 1,060,364.46
  5. Step 5: Solve for x
    x = 1,060,364.46/906.87
  6. Step 6: Final answer
    x = 1,169.26

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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.