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Finding the Fourth Proportional to 490.77, 677.52 and 378.54

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Solution

The fourth proportional to 490.77, 677.52 and 378.54 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.77 : 677.52 = 378.54 : x
  2. Step 2: Convert to fraction form
    490.77/677.52 = 378.54/x
  3. Step 3: Cross multiply
    490.77x = 677.52 × 378.54
  4. Step 4: Simplify right side
    490.77x = 256,468.42
  5. Step 5: Solve for x
    x = 256,468.42/490.77
  6. Step 6: Final answer
    x = 522.58

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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.