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Finding the Fourth Proportional to 671.99, 926.20 and 461.80

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Solution

The fourth proportional to 671.99, 926.20 and 461.80 is: 636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.99 : 926.20 = 461.80 : x
  2. Step 2: Convert to fraction form
    671.99/926.20 = 461.80/x
  3. Step 3: Cross multiply
    671.99x = 926.20 × 461.80
  4. Step 4: Simplify right side
    671.99x = 427,719.16
  5. Step 5: Solve for x
    x = 427,719.16/671.99
  6. Step 6: Final answer
    x = 636.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.