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Finding the Fourth Proportional to 853.62, 1,277.07 and 610.74

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Solution

The fourth proportional to 853.62, 1,277.07 and 610.74 is: 913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.62 : 1,277.07 = 610.74 : x
  2. Step 2: Convert to fraction form
    853.62/1,277.07 = 610.74/x
  3. Step 3: Cross multiply
    853.62x = 1,277.07 × 610.74
  4. Step 4: Simplify right side
    853.62x = 779,957.73
  5. Step 5: Solve for x
    x = 779,957.73/853.62
  6. Step 6: Final answer
    x = 913.71

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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.