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Finding the Fourth Proportional to 908.24, 1,254.60 and 831.44

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Solution

The fourth proportional to 908.24, 1,254.60 and 831.44 is: 1,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.24 : 1,254.60 = 831.44 : x
  2. Step 2: Convert to fraction form
    908.24/1,254.60 = 831.44/x
  3. Step 3: Cross multiply
    908.24x = 1,254.60 × 831.44
  4. Step 4: Simplify right side
    908.24x = 1,043,124.62
  5. Step 5: Solve for x
    x = 1,043,124.62/908.24
  6. Step 6: Final answer
    x = 1,148.51

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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.