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Finding the Fourth Proportional to 487.50, 727.72 and 451.37

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Solution

The fourth proportional to 487.50, 727.72 and 451.37 is: 673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.50 : 727.72 = 451.37 : x
  2. Step 2: Convert to fraction form
    487.50/727.72 = 451.37/x
  3. Step 3: Cross multiply
    487.50x = 727.72 × 451.37
  4. Step 4: Simplify right side
    487.50x = 328,468.72
  5. Step 5: Solve for x
    x = 328,468.72/487.50
  6. Step 6: Final answer
    x = 673.78

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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.