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Finding the Fourth Proportional to 523.90, 723.36 and 490.82

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Solution

The fourth proportional to 523.90, 723.36 and 490.82 is: 677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 723.36 = 490.82 : x
  2. Step 2: Convert to fraction form
    523.90/723.36 = 490.82/x
  3. Step 3: Cross multiply
    523.90x = 723.36 × 490.82
  4. Step 4: Simplify right side
    523.90x = 355,039.56
  5. Step 5: Solve for x
    x = 355,039.56/523.90
  6. Step 6: Final answer
    x = 677.69

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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.