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Finding the Fourth Proportional to 1,297.69, 1,791.25 and 831.94

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Solution

The fourth proportional to 1,297.69, 1,791.25 and 831.94 is: 1,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.69 : 1,791.25 = 831.94 : x
  2. Step 2: Convert to fraction form
    1,297.69/1,791.25 = 831.94/x
  3. Step 3: Cross multiply
    1,297.69x = 1,791.25 × 831.94
  4. Step 4: Simplify right side
    1,297.69x = 1,490,205.97
  5. Step 5: Solve for x
    x = 1,490,205.97/1,297.69
  6. Step 6: Final answer
    x = 1,148.36

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1.5x scale

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.