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Finding the Fourth Proportional to 472.28, 707.39 and 334.91

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Solution

The fourth proportional to 472.28, 707.39 and 334.91 is: 501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.28 : 707.39 = 334.91 : x
  2. Step 2: Convert to fraction form
    472.28/707.39 = 334.91/x
  3. Step 3: Cross multiply
    472.28x = 707.39 × 334.91
  4. Step 4: Simplify right side
    472.28x = 236,911.98
  5. Step 5: Solve for x
    x = 236,911.98/472.28
  6. Step 6: Final answer
    x = 501.63

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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.