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Finding the Fourth Proportional to 984.14, 1,474.38 and 831.02

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Solution

The fourth proportional to 984.14, 1,474.38 and 831.02 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.14 : 1,474.38 = 831.02 : x
  2. Step 2: Convert to fraction form
    984.14/1,474.38 = 831.02/x
  3. Step 3: Cross multiply
    984.14x = 1,474.38 × 831.02
  4. Step 4: Simplify right side
    984.14x = 1,225,239.27
  5. Step 5: Solve for x
    x = 1,225,239.27/984.14
  6. Step 6: Final answer
    x = 1,244.98

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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.