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Finding the Fourth Proportional to 519.72, 713.37 and 450.60

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Solution

The fourth proportional to 519.72, 713.37 and 450.60 is: 618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 713.37 = 450.60 : x
  2. Step 2: Convert to fraction form
    519.72/713.37 = 450.60/x
  3. Step 3: Cross multiply
    519.72x = 713.37 × 450.60
  4. Step 4: Simplify right side
    519.72x = 321,444.52
  5. Step 5: Solve for x
    x = 321,444.52/519.72
  6. Step 6: Final answer
    x = 618.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.