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Finding the Fourth Proportional to 831.41, 1,147.83 and 552.03

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Solution

The fourth proportional to 831.41, 1,147.83 and 552.03 is: 762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.41 : 1,147.83 = 552.03 : x
  2. Step 2: Convert to fraction form
    831.41/1,147.83 = 552.03/x
  3. Step 3: Cross multiply
    831.41x = 1,147.83 × 552.03
  4. Step 4: Simplify right side
    831.41x = 633,630.22
  5. Step 5: Solve for x
    x = 633,630.22/831.41
  6. Step 6: Final answer
    x = 762.12

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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.