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Finding the Fourth Proportional to 661.26, 990.33 and 523.87

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Solution

The fourth proportional to 661.26, 990.33 and 523.87 is: 784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.26 : 990.33 = 523.87 : x
  2. Step 2: Convert to fraction form
    661.26/990.33 = 523.87/x
  3. Step 3: Cross multiply
    661.26x = 990.33 × 523.87
  4. Step 4: Simplify right side
    661.26x = 518,799.74
  5. Step 5: Solve for x
    x = 518,799.74/661.26
  6. Step 6: Final answer
    x = 784.56

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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.