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Finding the Fourth Proportional to 544.15, 814.20 and 490.24

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Solution

The fourth proportional to 544.15, 814.20 and 490.24 is: 733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.15 : 814.20 = 490.24 : x
  2. Step 2: Convert to fraction form
    544.15/814.20 = 490.24/x
  3. Step 3: Cross multiply
    544.15x = 814.20 × 490.24
  4. Step 4: Simplify right side
    544.15x = 399,153.41
  5. Step 5: Solve for x
    x = 399,153.41/544.15
  6. Step 6: Final answer
    x = 733.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.