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Finding the Fourth Proportional to 853.25, 1,273.40 and 831.38

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Solution

The fourth proportional to 853.25, 1,273.40 and 831.38 is: 1,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,273.40 = 831.38 : x
  2. Step 2: Convert to fraction form
    853.25/1,273.40 = 831.38/x
  3. Step 3: Cross multiply
    853.25x = 1,273.40 × 831.38
  4. Step 4: Simplify right side
    853.25x = 1,058,668.77
  5. Step 5: Solve for x
    x = 1,058,668.77/853.25
  6. Step 6: Final answer
    x = 1,240.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.