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Finding the Fourth Proportional to 936.66, 1,410.58 and 816.38

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Solution

The fourth proportional to 936.66, 1,410.58 and 816.38 is: 1,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.66 : 1,410.58 = 816.38 : x
  2. Step 2: Convert to fraction form
    936.66/1,410.58 = 816.38/x
  3. Step 3: Cross multiply
    936.66x = 1,410.58 × 816.38
  4. Step 4: Simplify right side
    936.66x = 1,151,568.56
  5. Step 5: Solve for x
    x = 1,151,568.56/936.66
  6. Step 6: Final answer
    x = 1,229.44

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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.