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Finding the Fourth Proportional to 533.56, 798.44 and 387.48

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Solution

The fourth proportional to 533.56, 798.44 and 387.48 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.56 : 798.44 = 387.48 : x
  2. Step 2: Convert to fraction form
    533.56/798.44 = 387.48/x
  3. Step 3: Cross multiply
    533.56x = 798.44 × 387.48
  4. Step 4: Simplify right side
    533.56x = 309,379.53
  5. Step 5: Solve for x
    x = 309,379.53/533.56
  6. Step 6: Final answer
    x = 579.84

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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.