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Finding the Fourth Proportional to 504.27, 755.97 and 406.60

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Solution

The fourth proportional to 504.27, 755.97 and 406.60 is: 609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.27 : 755.97 = 406.60 : x
  2. Step 2: Convert to fraction form
    504.27/755.97 = 406.60/x
  3. Step 3: Cross multiply
    504.27x = 755.97 × 406.60
  4. Step 4: Simplify right side
    504.27x = 307,378.35
  5. Step 5: Solve for x
    x = 307,378.35/504.27
  6. Step 6: Final answer
    x = 609.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.