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Finding the Fourth Proportional to 533.54, 800.31 and 411.98

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Solution

The fourth proportional to 533.54, 800.31 and 411.98 is: 617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.54 : 800.31 = 411.98 : x
  2. Step 2: Convert to fraction form
    533.54/800.31 = 411.98/x
  3. Step 3: Cross multiply
    533.54x = 800.31 × 411.98
  4. Step 4: Simplify right side
    533.54x = 329,711.71
  5. Step 5: Solve for x
    x = 329,711.71/533.54
  6. Step 6: Final answer
    x = 617.97

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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.