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Finding the Fourth Proportional to 671.10, 925.83 and 405.48

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Solution

The fourth proportional to 671.10, 925.83 and 405.48 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.10 : 925.83 = 405.48 : x
  2. Step 2: Convert to fraction form
    671.10/925.83 = 405.48/x
  3. Step 3: Cross multiply
    671.10x = 925.83 × 405.48
  4. Step 4: Simplify right side
    671.10x = 375,405.55
  5. Step 5: Solve for x
    x = 375,405.55/671.10
  6. Step 6: Final answer
    x = 559.39

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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.