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Finding the Fourth Proportional to 533.90, 731.74 and 517.43

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Solution

The fourth proportional to 533.90, 731.74 and 517.43 is: 709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.90 : 731.74 = 517.43 : x
  2. Step 2: Convert to fraction form
    533.90/731.74 = 517.43/x
  3. Step 3: Cross multiply
    533.90x = 731.74 × 517.43
  4. Step 4: Simplify right side
    533.90x = 378,624.23
  5. Step 5: Solve for x
    x = 378,624.23/533.90
  6. Step 6: Final answer
    x = 709.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.