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Finding the Fourth Proportional to 855.08, 1,272.53 and 824.36

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Solution

The fourth proportional to 855.08, 1,272.53 and 824.36 is: 1,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.08 : 1,272.53 = 824.36 : x
  2. Step 2: Convert to fraction form
    855.08/1,272.53 = 824.36/x
  3. Step 3: Cross multiply
    855.08x = 1,272.53 × 824.36
  4. Step 4: Simplify right side
    855.08x = 1,049,022.83
  5. Step 5: Solve for x
    x = 1,049,022.83/855.08
  6. Step 6: Final answer
    x = 1,226.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.