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Finding the Fourth Proportional to 487.23, 727.31 and 451.09

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Solution

The fourth proportional to 487.23, 727.31 and 451.09 is: 673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.23 : 727.31 = 451.09 : x
  2. Step 2: Convert to fraction form
    487.23/727.31 = 451.09/x
  3. Step 3: Cross multiply
    487.23x = 727.31 × 451.09
  4. Step 4: Simplify right side
    487.23x = 328,082.27
  5. Step 5: Solve for x
    x = 328,082.27/487.23
  6. Step 6: Final answer
    x = 673.36

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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.