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Finding the Fourth Proportional to 523.96, 785.04 and 369.61

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Solution

The fourth proportional to 523.96, 785.04 and 369.61 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 785.04 = 369.61 : x
  2. Step 2: Convert to fraction form
    523.96/785.04 = 369.61/x
  3. Step 3: Cross multiply
    523.96x = 785.04 × 369.61
  4. Step 4: Simplify right side
    523.96x = 290,158.63
  5. Step 5: Solve for x
    x = 290,158.63/523.96
  6. Step 6: Final answer
    x = 553.78

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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.