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Finding the Fourth Proportional to 660.43, 989.09 and 523.55

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Solution

The fourth proportional to 660.43, 989.09 and 523.55 is: 784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.43 : 989.09 = 523.55 : x
  2. Step 2: Convert to fraction form
    660.43/989.09 = 523.55/x
  3. Step 3: Cross multiply
    660.43x = 989.09 × 523.55
  4. Step 4: Simplify right side
    660.43x = 517,837.02
  5. Step 5: Solve for x
    x = 517,837.02/660.43
  6. Step 6: Final answer
    x = 784.09

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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.