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Finding the Fourth Proportional to 417.87, 627.05 and 174.39

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Solution

The fourth proportional to 417.87, 627.05 and 174.39 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.87 : 627.05 = 174.39 : x
  2. Step 2: Convert to fraction form
    417.87/627.05 = 174.39/x
  3. Step 3: Cross multiply
    417.87x = 627.05 × 174.39
  4. Step 4: Simplify right side
    417.87x = 109,348.11
  5. Step 5: Solve for x
    x = 109,348.11/417.87
  6. Step 6: Final answer
    x = 261.68

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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.