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Finding the Fourth Proportional to 660.11, 990.14 and 416.79

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Solution

The fourth proportional to 660.11, 990.14 and 416.79 is: 625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.11 : 990.14 = 416.79 : x
  2. Step 2: Convert to fraction form
    660.11/990.14 = 416.79/x
  3. Step 3: Cross multiply
    660.11x = 990.14 × 416.79
  4. Step 4: Simplify right side
    660.11x = 412,678.37
  5. Step 5: Solve for x
    x = 412,678.37/660.11
  6. Step 6: Final answer
    x = 625.17

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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.