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Finding the Fourth Proportional to 487.38, 727.66 and 379.28

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Solution

The fourth proportional to 487.38, 727.66 and 379.28 is: 566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.38 : 727.66 = 379.28 : x
  2. Step 2: Convert to fraction form
    487.38/727.66 = 379.28/x
  3. Step 3: Cross multiply
    487.38x = 727.66 × 379.28
  4. Step 4: Simplify right side
    487.38x = 275,986.88
  5. Step 5: Solve for x
    x = 275,986.88/487.38
  6. Step 6: Final answer
    x = 566.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.