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Finding the Fourth Proportional to 511.60, 709.09 and 463

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Solution

The fourth proportional to 511.60, 709.09 and 463 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 709.09 = 463 : x
  2. Step 2: Convert to fraction form
    511.60/709.09 = 463/x
  3. Step 3: Cross multiply
    511.60x = 709.09 × 463
  4. Step 4: Simplify right side
    511.60x = 328,308.67
  5. Step 5: Solve for x
    x = 328,308.67/511.60
  6. Step 6: Final answer
    x = 641.73

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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.