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Finding the Fourth Proportional to 831.94, 1,245.49 and 484.21

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Solution

The fourth proportional to 831.94, 1,245.49 and 484.21 is: 724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.94 : 1,245.49 = 484.21 : x
  2. Step 2: Convert to fraction form
    831.94/1,245.49 = 484.21/x
  3. Step 3: Cross multiply
    831.94x = 1,245.49 × 484.21
  4. Step 4: Simplify right side
    831.94x = 603,078.71
  5. Step 5: Solve for x
    x = 603,078.71/831.94
  6. Step 6: Final answer
    x = 724.91

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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.