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Finding the Fourth Proportional to 540.87, 746.87 and 366.72

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Solution

The fourth proportional to 540.87, 746.87 and 366.72 is: 506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.87 : 746.87 = 366.72 : x
  2. Step 2: Convert to fraction form
    540.87/746.87 = 366.72/x
  3. Step 3: Cross multiply
    540.87x = 746.87 × 366.72
  4. Step 4: Simplify right side
    540.87x = 273,890.33
  5. Step 5: Solve for x
    x = 273,890.33/540.87
  6. Step 6: Final answer
    x = 506.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.