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Finding the Fourth Proportional to 544.13, 816.63 and 284.21

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Solution

The fourth proportional to 544.13, 816.63 and 284.21 is: 426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.13 : 816.63 = 284.21 : x
  2. Step 2: Convert to fraction form
    544.13/816.63 = 284.21/x
  3. Step 3: Cross multiply
    544.13x = 816.63 × 284.21
  4. Step 4: Simplify right side
    544.13x = 232,092.33
  5. Step 5: Solve for x
    x = 232,092.33/544.13
  6. Step 6: Final answer
    x = 426.54

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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.