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Finding the Fourth Proportional to 533.71, 800.72 and 259.82

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Solution

The fourth proportional to 533.71, 800.72 and 259.82 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 800.72 = 259.82 : x
  2. Step 2: Convert to fraction form
    533.71/800.72 = 259.82/x
  3. Step 3: Cross multiply
    533.71x = 800.72 × 259.82
  4. Step 4: Simplify right side
    533.71x = 208,039.72
  5. Step 5: Solve for x
    x = 208,039.72/533.71
  6. Step 6: Final answer
    x = 389.80

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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.