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Finding the Fourth Proportional to 488.14, 727.92 and 450.27

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Solution

The fourth proportional to 488.14, 727.92 and 450.27 is: 671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 727.92 = 450.27 : x
  2. Step 2: Convert to fraction form
    488.14/727.92 = 450.27/x
  3. Step 3: Cross multiply
    488.14x = 727.92 × 450.27
  4. Step 4: Simplify right side
    488.14x = 327,760.54
  5. Step 5: Solve for x
    x = 327,760.54/488.14
  6. Step 6: Final answer
    x = 671.45

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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.