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Finding the Fourth Proportional to 540.54, 743.90 and 499.50

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Solution

The fourth proportional to 540.54, 743.90 and 499.50 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.54 : 743.90 = 499.50 : x
  2. Step 2: Convert to fraction form
    540.54/743.90 = 499.50/x
  3. Step 3: Cross multiply
    540.54x = 743.90 × 499.50
  4. Step 4: Simplify right side
    540.54x = 371,575.55
  5. Step 5: Solve for x
    x = 371,575.55/540.54
  6. Step 6: Final answer
    x = 687.42

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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.