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Finding the Fourth Proportional to 831.97, 1,252.75 and 687.11

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Solution

The fourth proportional to 831.97, 1,252.75 and 687.11 is: 1,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.97 : 1,252.75 = 687.11 : x
  2. Step 2: Convert to fraction form
    831.97/1,252.75 = 687.11/x
  3. Step 3: Cross multiply
    831.97x = 1,252.75 × 687.11
  4. Step 4: Simplify right side
    831.97x = 860,773.62
  5. Step 5: Solve for x
    x = 860,773.62/831.97
  6. Step 6: Final answer
    x = 1,034.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.