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Finding the Fourth Proportional to 533.88, 800.43 and 360.06

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Solution

The fourth proportional to 533.88, 800.43 and 360.06 is: 539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 800.43 = 360.06 : x
  2. Step 2: Convert to fraction form
    533.88/800.43 = 360.06/x
  3. Step 3: Cross multiply
    533.88x = 800.43 × 360.06
  4. Step 4: Simplify right side
    533.88x = 288,204.61
  5. Step 5: Solve for x
    x = 288,204.61/533.88
  6. Step 6: Final answer
    x = 539.83

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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.