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Finding the Fourth Proportional to 503.20, 694.49 and 378.66

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Solution

The fourth proportional to 503.20, 694.49 and 378.66 is: 522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 694.49 = 378.66 : x
  2. Step 2: Convert to fraction form
    503.20/694.49 = 378.66/x
  3. Step 3: Cross multiply
    503.20x = 694.49 × 378.66
  4. Step 4: Simplify right side
    503.20x = 262,973.69
  5. Step 5: Solve for x
    x = 262,973.69/503.20
  6. Step 6: Final answer
    x = 522.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.