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Finding the Fourth Proportional to 983.28, 1,476 and 831.09

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Solution

The fourth proportional to 983.28, 1,476 and 831.09 is: 1,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.28 : 1,476 = 831.09 : x
  2. Step 2: Convert to fraction form
    983.28/1,476 = 831.09/x
  3. Step 3: Cross multiply
    983.28x = 1,476 × 831.09
  4. Step 4: Simplify right side
    983.28x = 1,226,688.84
  5. Step 5: Solve for x
    x = 1,226,688.84/983.28
  6. Step 6: Final answer
    x = 1,247.55

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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.