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Finding the Fourth Proportional to 831.97, 1,148.07 and 477.81

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Solution

The fourth proportional to 831.97, 1,148.07 and 477.81 is: 659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.97 : 1,148.07 = 477.81 : x
  2. Step 2: Convert to fraction form
    831.97/1,148.07 = 477.81/x
  3. Step 3: Cross multiply
    831.97x = 1,148.07 × 477.81
  4. Step 4: Simplify right side
    831.97x = 548,559.33
  5. Step 5: Solve for x
    x = 548,559.33/831.97
  6. Step 6: Final answer
    x = 659.35

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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.