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Finding the Fourth Proportional to 472.34, 706.46 and 428.69

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Solution

The fourth proportional to 472.34, 706.46 and 428.69 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.34 : 706.46 = 428.69 : x
  2. Step 2: Convert to fraction form
    472.34/706.46 = 428.69/x
  3. Step 3: Cross multiply
    472.34x = 706.46 × 428.69
  4. Step 4: Simplify right side
    472.34x = 302,849.98
  5. Step 5: Solve for x
    x = 302,849.98/472.34
  6. Step 6: Final answer
    x = 641.17

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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.