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Finding the Fourth Proportional to 503.22, 694.48 and 378.66

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Solution

The fourth proportional to 503.22, 694.48 and 378.66 is: 522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.22 : 694.48 = 378.66 : x
  2. Step 2: Convert to fraction form
    503.22/694.48 = 378.66/x
  3. Step 3: Cross multiply
    503.22x = 694.48 × 378.66
  4. Step 4: Simplify right side
    503.22x = 262,969.04
  5. Step 5: Solve for x
    x = 262,969.04/503.22
  6. Step 6: Final answer
    x = 522.57

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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.