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Finding the Fourth Proportional to 533.37, 801.27 and 511.50

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Solution

The fourth proportional to 533.37, 801.27 and 511.50 is: 768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.37 : 801.27 = 511.50 : x
  2. Step 2: Convert to fraction form
    533.37/801.27 = 511.50/x
  3. Step 3: Cross multiply
    533.37x = 801.27 × 511.50
  4. Step 4: Simplify right side
    533.37x = 409,849.61
  5. Step 5: Solve for x
    x = 409,849.61/533.37
  6. Step 6: Final answer
    x = 768.42

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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.