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Finding the Fourth Proportional to 855.05, 1,182.27 and 815.63

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Solution

The fourth proportional to 855.05, 1,182.27 and 815.63 is: 1,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.05 : 1,182.27 = 815.63 : x
  2. Step 2: Convert to fraction form
    855.05/1,182.27 = 815.63/x
  3. Step 3: Cross multiply
    855.05x = 1,182.27 × 815.63
  4. Step 4: Simplify right side
    855.05x = 964,294.88
  5. Step 5: Solve for x
    x = 964,294.88/855.05
  6. Step 6: Final answer
    x = 1,127.76

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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.