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Finding the Fourth Proportional to 511.89, 768.77 and 459.05

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Solution

The fourth proportional to 511.89, 768.77 and 459.05 is: 689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.89 : 768.77 = 459.05 : x
  2. Step 2: Convert to fraction form
    511.89/768.77 = 459.05/x
  3. Step 3: Cross multiply
    511.89x = 768.77 × 459.05
  4. Step 4: Simplify right side
    511.89x = 352,897.73
  5. Step 5: Solve for x
    x = 352,897.73/511.89
  6. Step 6: Final answer
    x = 689.40

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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.