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Finding the Fourth Proportional to 511.40, 765.41 and 440.12

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Solution

The fourth proportional to 511.40, 765.41 and 440.12 is: 658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 765.41 = 440.12 : x
  2. Step 2: Convert to fraction form
    511.40/765.41 = 440.12/x
  3. Step 3: Cross multiply
    511.40x = 765.41 × 440.12
  4. Step 4: Simplify right side
    511.40x = 336,872.25
  5. Step 5: Solve for x
    x = 336,872.25/511.40
  6. Step 6: Final answer
    x = 658.73

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1.5x scale

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.