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Finding the Fourth Proportional to 1,428.66, 1,971.81 and 831.23

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Solution

The fourth proportional to 1,428.66, 1,971.81 and 831.23 is: 1,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.66 : 1,971.81 = 831.23 : x
  2. Step 2: Convert to fraction form
    1,428.66/1,971.81 = 831.23/x
  3. Step 3: Cross multiply
    1,428.66x = 1,971.81 × 831.23
  4. Step 4: Simplify right side
    1,428.66x = 1,639,032.56
  5. Step 5: Solve for x
    x = 1,639,032.56/1,428.66
  6. Step 6: Final answer
    x = 1,147.25

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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.