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Finding the Fourth Proportional to 671.11, 1,004.85 and 486.20

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Solution

The fourth proportional to 671.11, 1,004.85 and 486.20 is: 727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.11 : 1,004.85 = 486.20 : x
  2. Step 2: Convert to fraction form
    671.11/1,004.85 = 486.20/x
  3. Step 3: Cross multiply
    671.11x = 1,004.85 × 486.20
  4. Step 4: Simplify right side
    671.11x = 488,558.07
  5. Step 5: Solve for x
    x = 488,558.07/671.11
  6. Step 6: Final answer
    x = 727.99

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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.