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Finding the Fourth Proportional to 533.30, 799.55 and 289.76

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Solution

The fourth proportional to 533.30, 799.55 and 289.76 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.30 : 799.55 = 289.76 : x
  2. Step 2: Convert to fraction form
    533.30/799.55 = 289.76/x
  3. Step 3: Cross multiply
    533.30x = 799.55 × 289.76
  4. Step 4: Simplify right side
    533.30x = 231,676.16
  5. Step 5: Solve for x
    x = 231,676.16/533.30
  6. Step 6: Final answer
    x = 434.42

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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.