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Finding the Fourth Proportional to 831.09, 1,147.06 and 481.98

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Solution

The fourth proportional to 831.09, 1,147.06 and 481.98 is: 665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.09 : 1,147.06 = 481.98 : x
  2. Step 2: Convert to fraction form
    831.09/1,147.06 = 481.98/x
  3. Step 3: Cross multiply
    831.09x = 1,147.06 × 481.98
  4. Step 4: Simplify right side
    831.09x = 552,864.88
  5. Step 5: Solve for x
    x = 552,864.88/831.09
  6. Step 6: Final answer
    x = 665.23

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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.