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Finding the Fourth Proportional to 799.85, 1,197.22 and 429.14

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Solution

The fourth proportional to 799.85, 1,197.22 and 429.14 is: 642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.85 : 1,197.22 = 429.14 : x
  2. Step 2: Convert to fraction form
    799.85/1,197.22 = 429.14/x
  3. Step 3: Cross multiply
    799.85x = 1,197.22 × 429.14
  4. Step 4: Simplify right side
    799.85x = 513,774.99
  5. Step 5: Solve for x
    x = 513,774.99/799.85
  6. Step 6: Final answer
    x = 642.34

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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.