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Finding the Fourth Proportional to 660.12, 990.40 and 416.36

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Solution

The fourth proportional to 660.12, 990.40 and 416.36 is: 624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.12 : 990.40 = 416.36 : x
  2. Step 2: Convert to fraction form
    660.12/990.40 = 416.36/x
  3. Step 3: Cross multiply
    660.12x = 990.40 × 416.36
  4. Step 4: Simplify right side
    660.12x = 412,362.94
  5. Step 5: Solve for x
    x = 412,362.94/660.12
  6. Step 6: Final answer
    x = 624.68

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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.