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Finding the Fourth Proportional to 533.92, 800.86 and 426.36

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Solution

The fourth proportional to 533.92, 800.86 and 426.36 is: 639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.92 : 800.86 = 426.36 : x
  2. Step 2: Convert to fraction form
    533.92/800.86 = 426.36/x
  3. Step 3: Cross multiply
    533.92x = 800.86 × 426.36
  4. Step 4: Simplify right side
    533.92x = 341,454.67
  5. Step 5: Solve for x
    x = 341,454.67/533.92
  6. Step 6: Final answer
    x = 639.52

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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.