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Finding the Fourth Proportional to 660.92, 992.78 and 417.62

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Solution

The fourth proportional to 660.92, 992.78 and 417.62 is: 627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.92 : 992.78 = 417.62 : x
  2. Step 2: Convert to fraction form
    660.92/992.78 = 417.62/x
  3. Step 3: Cross multiply
    660.92x = 992.78 × 417.62
  4. Step 4: Simplify right side
    660.92x = 414,597.73
  5. Step 5: Solve for x
    x = 414,597.73/660.92
  6. Step 6: Final answer
    x = 627.31

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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.