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Finding the Fourth Proportional to 853.07, 1,278.90 and 784.73

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Solution

The fourth proportional to 853.07, 1,278.90 and 784.73 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.07 : 1,278.90 = 784.73 : x
  2. Step 2: Convert to fraction form
    853.07/1,278.90 = 784.73/x
  3. Step 3: Cross multiply
    853.07x = 1,278.90 × 784.73
  4. Step 4: Simplify right side
    853.07x = 1,003,584.80
  5. Step 5: Solve for x
    x = 1,003,584.80/853.07
  6. Step 6: Final answer
    x = 1,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.