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Finding the Fourth Proportional to 484.76, 727.61 and 367.22

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Solution

The fourth proportional to 484.76, 727.61 and 367.22 is: 551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.76 : 727.61 = 367.22 : x
  2. Step 2: Convert to fraction form
    484.76/727.61 = 367.22/x
  3. Step 3: Cross multiply
    484.76x = 727.61 × 367.22
  4. Step 4: Simplify right side
    484.76x = 267,192.94
  5. Step 5: Solve for x
    x = 267,192.94/484.76
  6. Step 6: Final answer
    x = 551.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.