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Finding the Fourth Proportional to 518.40, 773.10 and 496.80

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Solution

The fourth proportional to 518.40, 773.10 and 496.80 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 773.10 = 496.80 : x
  2. Step 2: Convert to fraction form
    518.40/773.10 = 496.80/x
  3. Step 3: Cross multiply
    518.40x = 773.10 × 496.80
  4. Step 4: Simplify right side
    518.40x = 384,076.08
  5. Step 5: Solve for x
    x = 384,076.08/518.40
  6. Step 6: Final answer
    x = 740.89

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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.