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Finding the Fourth Proportional to 544.52, 816.24 and 288.02

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Solution

The fourth proportional to 544.52, 816.24 and 288.02 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.52 : 816.24 = 288.02 : x
  2. Step 2: Convert to fraction form
    544.52/816.24 = 288.02/x
  3. Step 3: Cross multiply
    544.52x = 816.24 × 288.02
  4. Step 4: Simplify right side
    544.52x = 235,093.44
  5. Step 5: Solve for x
    x = 235,093.44/544.52
  6. Step 6: Final answer
    x = 431.74

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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.