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Finding the Fourth Proportional to 490.57, 729.54 and 475.20

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Solution

The fourth proportional to 490.57, 729.54 and 475.20 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.57 : 729.54 = 475.20 : x
  2. Step 2: Convert to fraction form
    490.57/729.54 = 475.20/x
  3. Step 3: Cross multiply
    490.57x = 729.54 × 475.20
  4. Step 4: Simplify right side
    490.57x = 346,677.41
  5. Step 5: Solve for x
    x = 346,677.41/490.57
  6. Step 6: Final answer
    x = 706.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.