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Finding the Fourth Proportional to 533.82, 735.48 and 499.80

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Solution

The fourth proportional to 533.82, 735.48 and 499.80 is: 688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 735.48 = 499.80 : x
  2. Step 2: Convert to fraction form
    533.82/735.48 = 499.80/x
  3. Step 3: Cross multiply
    533.82x = 735.48 × 499.80
  4. Step 4: Simplify right side
    533.82x = 367,595.66
  5. Step 5: Solve for x
    x = 367,595.66/533.82
  6. Step 6: Final answer
    x = 688.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.