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Finding the Fourth Proportional to 660.07, 990.09 and 382.84

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Solution

The fourth proportional to 660.07, 990.09 and 382.84 is: 574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.07 : 990.09 = 382.84 : x
  2. Step 2: Convert to fraction form
    660.07/990.09 = 382.84/x
  3. Step 3: Cross multiply
    660.07x = 990.09 × 382.84
  4. Step 4: Simplify right side
    660.07x = 379,047.01
  5. Step 5: Solve for x
    x = 379,047.01/660.07
  6. Step 6: Final answer
    x = 574.25

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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.