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Finding the Fourth Proportional to 831.13, 1,145.87 and 681.19

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Solution

The fourth proportional to 831.13, 1,145.87 and 681.19 is: 939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.13 : 1,145.87 = 681.19 : x
  2. Step 2: Convert to fraction form
    831.13/1,145.87 = 681.19/x
  3. Step 3: Cross multiply
    831.13x = 1,145.87 × 681.19
  4. Step 4: Simplify right side
    831.13x = 780,551.47
  5. Step 5: Solve for x
    x = 780,551.47/831.13
  6. Step 6: Final answer
    x = 939.15

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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.