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Finding the Fourth Proportional to 533.87, 803.63 and 380.85

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Solution

The fourth proportional to 533.87, 803.63 and 380.85 is: 573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.87 : 803.63 = 380.85 : x
  2. Step 2: Convert to fraction form
    533.87/803.63 = 380.85/x
  3. Step 3: Cross multiply
    533.87x = 803.63 × 380.85
  4. Step 4: Simplify right side
    533.87x = 306,062.49
  5. Step 5: Solve for x
    x = 306,062.49/533.87
  6. Step 6: Final answer
    x = 573.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.