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Finding the Fourth Proportional to 662.54, 991.66 and 417.86

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Solution

The fourth proportional to 662.54, 991.66 and 417.86 is: 625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.54 : 991.66 = 417.86 : x
  2. Step 2: Convert to fraction form
    662.54/991.66 = 417.86/x
  3. Step 3: Cross multiply
    662.54x = 991.66 × 417.86
  4. Step 4: Simplify right side
    662.54x = 414,375.05
  5. Step 5: Solve for x
    x = 414,375.05/662.54
  6. Step 6: Final answer
    x = 625.43

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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.