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Finding the Fourth Proportional to 671.12, 926.03 and 405.49

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Solution

The fourth proportional to 671.12, 926.03 and 405.49 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.12 : 926.03 = 405.49 : x
  2. Step 2: Convert to fraction form
    671.12/926.03 = 405.49/x
  3. Step 3: Cross multiply
    671.12x = 926.03 × 405.49
  4. Step 4: Simplify right side
    671.12x = 375,489.25
  5. Step 5: Solve for x
    x = 375,489.25/671.12
  6. Step 6: Final answer
    x = 559.50

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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.