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Finding the Fourth Proportional to 523.74, 785.34 and 194.42

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Solution

The fourth proportional to 523.74, 785.34 and 194.42 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.34 = 194.42 : x
  2. Step 2: Convert to fraction form
    523.74/785.34 = 194.42/x
  3. Step 3: Cross multiply
    523.74x = 785.34 × 194.42
  4. Step 4: Simplify right side
    523.74x = 152,685.80
  5. Step 5: Solve for x
    x = 152,685.80/523.74
  6. Step 6: Final answer
    x = 291.53

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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.