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Finding the Fourth Proportional to 523.78, 785.84 and 194.89

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Solution

The fourth proportional to 523.78, 785.84 and 194.89 is: 292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 785.84 = 194.89 : x
  2. Step 2: Convert to fraction form
    523.78/785.84 = 194.89/x
  3. Step 3: Cross multiply
    523.78x = 785.84 × 194.89
  4. Step 4: Simplify right side
    523.78x = 153,155.03
  5. Step 5: Solve for x
    x = 153,155.03/523.78
  6. Step 6: Final answer
    x = 292.40

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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.