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Finding the Fourth Proportional to 831.29, 1,243.58 and 694.61

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Solution

The fourth proportional to 831.29, 1,243.58 and 694.61 is: 1,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.29 : 1,243.58 = 694.61 : x
  2. Step 2: Convert to fraction form
    831.29/1,243.58 = 694.61/x
  3. Step 3: Cross multiply
    831.29x = 1,243.58 × 694.61
  4. Step 4: Simplify right side
    831.29x = 863,799.63
  5. Step 5: Solve for x
    x = 863,799.63/831.29
  6. Step 6: Final answer
    x = 1,039.11

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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.