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Finding the Fourth Proportional to 544.24, 815.69 and 284.11

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Solution

The fourth proportional to 544.24, 815.69 and 284.11 is: 425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.24 : 815.69 = 284.11 : x
  2. Step 2: Convert to fraction form
    544.24/815.69 = 284.11/x
  3. Step 3: Cross multiply
    544.24x = 815.69 × 284.11
  4. Step 4: Simplify right side
    544.24x = 231,742.76
  5. Step 5: Solve for x
    x = 231,742.76/544.24
  6. Step 6: Final answer
    x = 425.81

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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.