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Finding the Fourth Proportional to 523.78, 785.74 and 215.61

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Solution

The fourth proportional to 523.78, 785.74 and 215.61 is: 323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 785.74 = 215.61 : x
  2. Step 2: Convert to fraction form
    523.78/785.74 = 215.61/x
  3. Step 3: Cross multiply
    523.78x = 785.74 × 215.61
  4. Step 4: Simplify right side
    523.78x = 169,408.39
  5. Step 5: Solve for x
    x = 169,408.39/523.78
  6. Step 6: Final answer
    x = 323.44

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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.