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Finding the Fourth Proportional to 936.14, 1,409.81 and 853.11

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Solution

The fourth proportional to 936.14, 1,409.81 and 853.11 is: 1,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.14 : 1,409.81 = 853.11 : x
  2. Step 2: Convert to fraction form
    936.14/1,409.81 = 853.11/x
  3. Step 3: Cross multiply
    936.14x = 1,409.81 × 853.11
  4. Step 4: Simplify right side
    936.14x = 1,202,718.74
  5. Step 5: Solve for x
    x = 1,202,718.74/936.14
  6. Step 6: Final answer
    x = 1,284.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.