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Finding the Fourth Proportional to 831.20, 1,244.38 and 483.47

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Solution

The fourth proportional to 831.20, 1,244.38 and 483.47 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.20 : 1,244.38 = 483.47 : x
  2. Step 2: Convert to fraction form
    831.20/1,244.38 = 483.47/x
  3. Step 3: Cross multiply
    831.20x = 1,244.38 × 483.47
  4. Step 4: Simplify right side
    831.20x = 601,617.98
  5. Step 5: Solve for x
    x = 601,617.98/831.20
  6. Step 6: Final answer
    x = 723.80

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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.