Home / 1,297.25-1,790.21-831.50

Finding the Fourth Proportional to 1,297.25, 1,790.21 and 831.50

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Solution

The fourth proportional to 1,297.25, 1,790.21 and 831.50 is: 1,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.25 : 1,790.21 = 831.50 : x
  2. Step 2: Convert to fraction form
    1,297.25/1,790.21 = 831.50/x
  3. Step 3: Cross multiply
    1,297.25x = 1,790.21 × 831.50
  4. Step 4: Simplify right side
    1,297.25x = 1,488,555.46
  5. Step 5: Solve for x
    x = 1,488,555.46/1,297.25
  6. Step 6: Final answer
    x = 1,147.47

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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.