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Finding the Fourth Proportional to 533.01, 797.80 and 285.87

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Solution

The fourth proportional to 533.01, 797.80 and 285.87 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.01 : 797.80 = 285.87 : x
  2. Step 2: Convert to fraction form
    533.01/797.80 = 285.87/x
  3. Step 3: Cross multiply
    533.01x = 797.80 × 285.87
  4. Step 4: Simplify right side
    533.01x = 228,067.09
  5. Step 5: Solve for x
    x = 228,067.09/533.01
  6. Step 6: Final answer
    x = 427.89

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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.