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Finding the Fourth Proportional to 533.79, 801.09 and 389.61

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Solution

The fourth proportional to 533.79, 801.09 and 389.61 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.79 : 801.09 = 389.61 : x
  2. Step 2: Convert to fraction form
    533.79/801.09 = 389.61/x
  3. Step 3: Cross multiply
    533.79x = 801.09 × 389.61
  4. Step 4: Simplify right side
    533.79x = 312,112.67
  5. Step 5: Solve for x
    x = 312,112.67/533.79
  6. Step 6: Final answer
    x = 584.71

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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.