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Finding the Fourth Proportional to 533.40, 799.56 and 289.62

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Solution

The fourth proportional to 533.40, 799.56 and 289.62 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 799.56 = 289.62 : x
  2. Step 2: Convert to fraction form
    533.40/799.56 = 289.62/x
  3. Step 3: Cross multiply
    533.40x = 799.56 × 289.62
  4. Step 4: Simplify right side
    533.40x = 231,568.57
  5. Step 5: Solve for x
    x = 231,568.57/533.40
  6. Step 6: Final answer
    x = 434.14

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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.