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Finding the Fourth Proportional to 533.44, 800.40 and 289.88

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Solution

The fourth proportional to 533.44, 800.40 and 289.88 is: 434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.44 : 800.40 = 289.88 : x
  2. Step 2: Convert to fraction form
    533.44/800.40 = 289.88/x
  3. Step 3: Cross multiply
    533.44x = 800.40 × 289.88
  4. Step 4: Simplify right side
    533.44x = 232,019.95
  5. Step 5: Solve for x
    x = 232,019.95/533.44
  6. Step 6: Final answer
    x = 434.95

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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.