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Finding the Fourth Proportional to 894.18, 1,348.07 and 831.54

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Solution

The fourth proportional to 894.18, 1,348.07 and 831.54 is: 1,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.18 : 1,348.07 = 831.54 : x
  2. Step 2: Convert to fraction form
    894.18/1,348.07 = 831.54/x
  3. Step 3: Cross multiply
    894.18x = 1,348.07 × 831.54
  4. Step 4: Simplify right side
    894.18x = 1,120,974.13
  5. Step 5: Solve for x
    x = 1,120,974.13/894.18
  6. Step 6: Final answer
    x = 1,253.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.