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Finding the Fourth Proportional to 671.01, 926.15 and 409.20

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Solution

The fourth proportional to 671.01, 926.15 and 409.20 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.01 : 926.15 = 409.20 : x
  2. Step 2: Convert to fraction form
    671.01/926.15 = 409.20/x
  3. Step 3: Cross multiply
    671.01x = 926.15 × 409.20
  4. Step 4: Simplify right side
    671.01x = 378,978.53
  5. Step 5: Solve for x
    x = 378,978.53/671.01
  6. Step 6: Final answer
    x = 564.79

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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.