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Finding the Fourth Proportional to 853.86, 1,277.55 and 772.86

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Solution

The fourth proportional to 853.86, 1,277.55 and 772.86 is: 1,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,277.55 = 772.86 : x
  2. Step 2: Convert to fraction form
    853.86/1,277.55 = 772.86/x
  3. Step 3: Cross multiply
    853.86x = 1,277.55 × 772.86
  4. Step 4: Simplify right side
    853.86x = 987,367.29
  5. Step 5: Solve for x
    x = 987,367.29/853.86
  6. Step 6: Final answer
    x = 1,156.36

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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.