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Finding the Fourth Proportional to 523.86, 785.18 and 234.69

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Solution

The fourth proportional to 523.86, 785.18 and 234.69 is: 351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 785.18 = 234.69 : x
  2. Step 2: Convert to fraction form
    523.86/785.18 = 234.69/x
  3. Step 3: Cross multiply
    523.86x = 785.18 × 234.69
  4. Step 4: Simplify right side
    523.86x = 184,273.89
  5. Step 5: Solve for x
    x = 184,273.89/523.86
  6. Step 6: Final answer
    x = 351.76

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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.