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Finding the Fourth Proportional to 533.25, 800.28 and 289.53

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Solution

The fourth proportional to 533.25, 800.28 and 289.53 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 800.28 = 289.53 : x
  2. Step 2: Convert to fraction form
    533.25/800.28 = 289.53/x
  3. Step 3: Cross multiply
    533.25x = 800.28 × 289.53
  4. Step 4: Simplify right side
    533.25x = 231,705.07
  5. Step 5: Solve for x
    x = 231,705.07/533.25
  6. Step 6: Final answer
    x = 434.51

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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.