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Finding the Fourth Proportional to 867.86, 1,197.92 and 823.78

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Solution

The fourth proportional to 867.86, 1,197.92 and 823.78 is: 1,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.86 : 1,197.92 = 823.78 : x
  2. Step 2: Convert to fraction form
    867.86/1,197.92 = 823.78/x
  3. Step 3: Cross multiply
    867.86x = 1,197.92 × 823.78
  4. Step 4: Simplify right side
    867.86x = 986,822.54
  5. Step 5: Solve for x
    x = 986,822.54/867.86
  6. Step 6: Final answer
    x = 1,137.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.