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Finding the Fourth Proportional to 533.26, 798.13 and 326.86

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Solution

The fourth proportional to 533.26, 798.13 and 326.86 is: 489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 798.13 = 326.86 : x
  2. Step 2: Convert to fraction form
    533.26/798.13 = 326.86/x
  3. Step 3: Cross multiply
    533.26x = 798.13 × 326.86
  4. Step 4: Simplify right side
    533.26x = 260,875.19
  5. Step 5: Solve for x
    x = 260,875.19/533.26
  6. Step 6: Final answer
    x = 489.21

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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.