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Finding the Fourth Proportional to 799.11, 1,101.98 and 533.50

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Solution

The fourth proportional to 799.11, 1,101.98 and 533.50 is: 735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.11 : 1,101.98 = 533.50 : x
  2. Step 2: Convert to fraction form
    799.11/1,101.98 = 533.50/x
  3. Step 3: Cross multiply
    799.11x = 1,101.98 × 533.50
  4. Step 4: Simplify right side
    799.11x = 587,904.91
  5. Step 5: Solve for x
    x = 587,904.91/799.11
  6. Step 6: Final answer
    x = 735.70

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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.