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Finding the Fourth Proportional to 660.66, 989.66 and 314.33

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Solution

The fourth proportional to 660.66, 989.66 and 314.33 is: 470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.66 : 989.66 = 314.33 : x
  2. Step 2: Convert to fraction form
    660.66/989.66 = 314.33/x
  3. Step 3: Cross multiply
    660.66x = 989.66 × 314.33
  4. Step 4: Simplify right side
    660.66x = 311,074.09
  5. Step 5: Solve for x
    x = 311,074.09/660.66
  6. Step 6: Final answer
    x = 470.86

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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.