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Finding the Fourth Proportional to 523.02, 784.68 and 198.48

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Solution

The fourth proportional to 523.02, 784.68 and 198.48 is: 297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 784.68 = 198.48 : x
  2. Step 2: Convert to fraction form
    523.02/784.68 = 198.48/x
  3. Step 3: Cross multiply
    523.02x = 784.68 × 198.48
  4. Step 4: Simplify right side
    523.02x = 155,743.29
  5. Step 5: Solve for x
    x = 155,743.29/523.02
  6. Step 6: Final answer
    x = 297.78

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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.