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Finding the Fourth Proportional to 551.32, 764.38 and 518.20

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Solution

The fourth proportional to 551.32, 764.38 and 518.20 is: 718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.32 : 764.38 = 518.20 : x
  2. Step 2: Convert to fraction form
    551.32/764.38 = 518.20/x
  3. Step 3: Cross multiply
    551.32x = 764.38 × 518.20
  4. Step 4: Simplify right side
    551.32x = 396,101.72
  5. Step 5: Solve for x
    x = 396,101.72/551.32
  6. Step 6: Final answer
    x = 718.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.