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Finding the Fourth Proportional to 660.57, 990.71 and 270.47

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Solution

The fourth proportional to 660.57, 990.71 and 270.47 is: 405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.57 : 990.71 = 270.47 : x
  2. Step 2: Convert to fraction form
    660.57/990.71 = 270.47/x
  3. Step 3: Cross multiply
    660.57x = 990.71 × 270.47
  4. Step 4: Simplify right side
    660.57x = 267,960.99
  5. Step 5: Solve for x
    x = 267,960.99/660.57
  6. Step 6: Final answer
    x = 405.65

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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.