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Finding the Fourth Proportional to 799.37, 1,102.79 and 463.25

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Solution

The fourth proportional to 799.37, 1,102.79 and 463.25 is: 639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.37 : 1,102.79 = 463.25 : x
  2. Step 2: Convert to fraction form
    799.37/1,102.79 = 463.25/x
  3. Step 3: Cross multiply
    799.37x = 1,102.79 × 463.25
  4. Step 4: Simplify right side
    799.37x = 510,863.11
  5. Step 5: Solve for x
    x = 510,863.11/799.37
  6. Step 6: Final answer
    x = 639.09

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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.