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Finding the Fourth Proportional to 509.78, 704.03 and 378.56

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Solution

The fourth proportional to 509.78, 704.03 and 378.56 is: 522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 704.03 = 378.56 : x
  2. Step 2: Convert to fraction form
    509.78/704.03 = 378.56/x
  3. Step 3: Cross multiply
    509.78x = 704.03 × 378.56
  4. Step 4: Simplify right side
    509.78x = 266,517.60
  5. Step 5: Solve for x
    x = 266,517.60/509.78
  6. Step 6: Final answer
    x = 522.81

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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.