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Finding the Fourth Proportional to 511.62, 765.74 and 440.34

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Solution

The fourth proportional to 511.62, 765.74 and 440.34 is: 659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.62 : 765.74 = 440.34 : x
  2. Step 2: Convert to fraction form
    511.62/765.74 = 440.34/x
  3. Step 3: Cross multiply
    511.62x = 765.74 × 440.34
  4. Step 4: Simplify right side
    511.62x = 337,183.75
  5. Step 5: Solve for x
    x = 337,183.75/511.62
  6. Step 6: Final answer
    x = 659.05

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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.