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Finding the Fourth Proportional to 860.85, 1,291.59 and 831.69

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Solution

The fourth proportional to 860.85, 1,291.59 and 831.69 is: 1,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.85 : 1,291.59 = 831.69 : x
  2. Step 2: Convert to fraction form
    860.85/1,291.59 = 831.69/x
  3. Step 3: Cross multiply
    860.85x = 1,291.59 × 831.69
  4. Step 4: Simplify right side
    860.85x = 1,074,202.49
  5. Step 5: Solve for x
    x = 1,074,202.49/860.85
  6. Step 6: Final answer
    x = 1,247.84

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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.