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Finding the Fourth Proportional to 472.56, 708.30 and 290.09

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Solution

The fourth proportional to 472.56, 708.30 and 290.09 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 708.30 = 290.09 : x
  2. Step 2: Convert to fraction form
    472.56/708.30 = 290.09/x
  3. Step 3: Cross multiply
    472.56x = 708.30 × 290.09
  4. Step 4: Simplify right side
    472.56x = 205,467.21
  5. Step 5: Solve for x
    x = 205,467.21/472.56
  6. Step 6: Final answer
    x = 434.80

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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.