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Finding the Fourth Proportional to 660.68, 991.97 and 478.97

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Solution

The fourth proportional to 660.68, 991.97 and 478.97 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.68 : 991.97 = 478.97 : x
  2. Step 2: Convert to fraction form
    660.68/991.97 = 478.97/x
  3. Step 3: Cross multiply
    660.68x = 991.97 × 478.97
  4. Step 4: Simplify right side
    660.68x = 475,123.87
  5. Step 5: Solve for x
    x = 475,123.87/660.68
  6. Step 6: Final answer
    x = 719.14

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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.