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Finding the Fourth Proportional to 853.76, 1,178.62 and 559.48

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Solution

The fourth proportional to 853.76, 1,178.62 and 559.48 is: 772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,178.62 = 559.48 : x
  2. Step 2: Convert to fraction form
    853.76/1,178.62 = 559.48/x
  3. Step 3: Cross multiply
    853.76x = 1,178.62 × 559.48
  4. Step 4: Simplify right side
    853.76x = 659,414.32
  5. Step 5: Solve for x
    x = 659,414.32/853.76
  6. Step 6: Final answer
    x = 772.36

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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.