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Finding the Fourth Proportional to 831.78, 1,147.73 and 477.72

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Solution

The fourth proportional to 831.78, 1,147.73 and 477.72 is: 659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.78 : 1,147.73 = 477.72 : x
  2. Step 2: Convert to fraction form
    831.78/1,147.73 = 477.72/x
  3. Step 3: Cross multiply
    831.78x = 1,147.73 × 477.72
  4. Step 4: Simplify right side
    831.78x = 548,291.19
  5. Step 5: Solve for x
    x = 548,291.19/831.78
  6. Step 6: Final answer
    x = 659.18

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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.