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Finding the Fourth Proportional to 523.23, 784.58 and 193.92

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Solution

The fourth proportional to 523.23, 784.58 and 193.92 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 784.58 = 193.92 : x
  2. Step 2: Convert to fraction form
    523.23/784.58 = 193.92/x
  3. Step 3: Cross multiply
    523.23x = 784.58 × 193.92
  4. Step 4: Simplify right side
    523.23x = 152,144.78
  5. Step 5: Solve for x
    x = 152,144.78/523.23
  6. Step 6: Final answer
    x = 290.78

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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.