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Finding the Fourth Proportional to 663.84, 987.41 and 661.62

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Solution

The fourth proportional to 663.84, 987.41 and 661.62 is: 984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 987.41 = 661.62 : x
  2. Step 2: Convert to fraction form
    663.84/987.41 = 661.62/x
  3. Step 3: Cross multiply
    663.84x = 987.41 × 661.62
  4. Step 4: Simplify right side
    663.84x = 653,286.90
  5. Step 5: Solve for x
    x = 653,286.90/663.84
  6. Step 6: Final answer
    x = 984.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.