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Finding the Fourth Proportional to 831.35, 1,146.39 and 551.49

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Solution

The fourth proportional to 831.35, 1,146.39 and 551.49 is: 760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.35 : 1,146.39 = 551.49 : x
  2. Step 2: Convert to fraction form
    831.35/1,146.39 = 551.49/x
  3. Step 3: Cross multiply
    831.35x = 1,146.39 × 551.49
  4. Step 4: Simplify right side
    831.35x = 632,222.62
  5. Step 5: Solve for x
    x = 632,222.62/831.35
  6. Step 6: Final answer
    x = 760.48

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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.