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Finding the Fourth Proportional to 671.82, 1,006.46 and 517.52

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Solution

The fourth proportional to 671.82, 1,006.46 and 517.52 is: 775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.82 : 1,006.46 = 517.52 : x
  2. Step 2: Convert to fraction form
    671.82/1,006.46 = 517.52/x
  3. Step 3: Cross multiply
    671.82x = 1,006.46 × 517.52
  4. Step 4: Simplify right side
    671.82x = 520,863.18
  5. Step 5: Solve for x
    x = 520,863.18/671.82
  6. Step 6: Final answer
    x = 775.30

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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.