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Finding the Fourth Proportional to 511.91, 766.16 and 440.63

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Solution

The fourth proportional to 511.91, 766.16 and 440.63 is: 659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.91 : 766.16 = 440.63 : x
  2. Step 2: Convert to fraction form
    511.91/766.16 = 440.63/x
  3. Step 3: Cross multiply
    511.91x = 766.16 × 440.63
  4. Step 4: Simplify right side
    511.91x = 337,587.05
  5. Step 5: Solve for x
    x = 337,587.05/511.91
  6. Step 6: Final answer
    x = 659.47

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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.