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Finding the Fourth Proportional to 488.23, 727.38 and 467.27

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Solution

The fourth proportional to 488.23, 727.38 and 467.27 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.23 : 727.38 = 467.27 : x
  2. Step 2: Convert to fraction form
    488.23/727.38 = 467.27/x
  3. Step 3: Cross multiply
    488.23x = 727.38 × 467.27
  4. Step 4: Simplify right side
    488.23x = 339,881.94
  5. Step 5: Solve for x
    x = 339,881.94/488.23
  6. Step 6: Final answer
    x = 696.15

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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.