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Finding the Fourth Proportional to 855.91, 1,178.30 and 816.73

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Solution

The fourth proportional to 855.91, 1,178.30 and 816.73 is: 1,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.91 : 1,178.30 = 816.73 : x
  2. Step 2: Convert to fraction form
    855.91/1,178.30 = 816.73/x
  3. Step 3: Cross multiply
    855.91x = 1,178.30 × 816.73
  4. Step 4: Simplify right side
    855.91x = 962,347.52
  5. Step 5: Solve for x
    x = 962,347.52/855.91
  6. Step 6: Final answer
    x = 1,124.36

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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.