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Finding the Fourth Proportional to 662.10, 991.80 and 417.75

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Solution

The fourth proportional to 662.10, 991.80 and 417.75 is: 625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 991.80 = 417.75 : x
  2. Step 2: Convert to fraction form
    662.10/991.80 = 417.75/x
  3. Step 3: Cross multiply
    662.10x = 991.80 × 417.75
  4. Step 4: Simplify right side
    662.10x = 414,324.45
  5. Step 5: Solve for x
    x = 414,324.45/662.10
  6. Step 6: Final answer
    x = 625.77

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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.