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Finding the Fourth Proportional to 831.70, 1,247.84 and 284.27

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Solution

The fourth proportional to 831.70, 1,247.84 and 284.27 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.70 : 1,247.84 = 284.27 : x
  2. Step 2: Convert to fraction form
    831.70/1,247.84 = 284.27/x
  3. Step 3: Cross multiply
    831.70x = 1,247.84 × 284.27
  4. Step 4: Simplify right side
    831.70x = 354,724.97
  5. Step 5: Solve for x
    x = 354,724.97/831.70
  6. Step 6: Final answer
    x = 426.50

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Double scale
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1.5x scale

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.