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Finding the Fourth Proportional to 490.48, 677.56 and 381.36

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Solution

The fourth proportional to 490.48, 677.56 and 381.36 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.48 : 677.56 = 381.36 : x
  2. Step 2: Convert to fraction form
    490.48/677.56 = 381.36/x
  3. Step 3: Cross multiply
    490.48x = 677.56 × 381.36
  4. Step 4: Simplify right side
    490.48x = 258,394.28
  5. Step 5: Solve for x
    x = 258,394.28/490.48
  6. Step 6: Final answer
    x = 526.82

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