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Finding the Fourth Proportional to 831.04, 1,146.89 and 481.72

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Solution

The fourth proportional to 831.04, 1,146.89 and 481.72 is: 664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.04 : 1,146.89 = 481.72 : x
  2. Step 2: Convert to fraction form
    831.04/1,146.89 = 481.72/x
  3. Step 3: Cross multiply
    831.04x = 1,146.89 × 481.72
  4. Step 4: Simplify right side
    831.04x = 552,479.85
  5. Step 5: Solve for x
    x = 552,479.85/831.04
  6. Step 6: Final answer
    x = 664.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.