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Finding the Fourth Proportional to 436.85, 655.39 and 429.11

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Solution

The fourth proportional to 436.85, 655.39 and 429.11 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.85 : 655.39 = 429.11 : x
  2. Step 2: Convert to fraction form
    436.85/655.39 = 429.11/x
  3. Step 3: Cross multiply
    436.85x = 655.39 × 429.11
  4. Step 4: Simplify right side
    436.85x = 281,230.05
  5. Step 5: Solve for x
    x = 281,230.05/436.85
  6. Step 6: Final answer
    x = 643.76

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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.