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Finding the Fourth Proportional to 472.12, 707.82 and 289.42

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Solution

The fourth proportional to 472.12, 707.82 and 289.42 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 707.82 = 289.42 : x
  2. Step 2: Convert to fraction form
    472.12/707.82 = 289.42/x
  3. Step 3: Cross multiply
    472.12x = 707.82 × 289.42
  4. Step 4: Simplify right side
    472.12x = 204,857.26
  5. Step 5: Solve for x
    x = 204,857.26/472.12
  6. Step 6: Final answer
    x = 433.91

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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.