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Finding the Fourth Proportional to 533.73, 801.78 and 380.01

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Solution

The fourth proportional to 533.73, 801.78 and 380.01 is: 570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.73 : 801.78 = 380.01 : x
  2. Step 2: Convert to fraction form
    533.73/801.78 = 380.01/x
  3. Step 3: Cross multiply
    533.73x = 801.78 × 380.01
  4. Step 4: Simplify right side
    533.73x = 304,684.42
  5. Step 5: Solve for x
    x = 304,684.42/533.73
  6. Step 6: Final answer
    x = 570.86

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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.