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Finding the Fourth Proportional to 490.60, 729.17 and 490.60

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Solution

The fourth proportional to 490.60, 729.17 and 490.60 is: 729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 729.17 = 490.60 : x
  2. Step 2: Convert to fraction form
    490.60/729.17 = 490.60/x
  3. Step 3: Cross multiply
    490.60x = 729.17 × 490.60
  4. Step 4: Simplify right side
    490.60x = 357,730.80
  5. Step 5: Solve for x
    x = 357,730.80/490.60
  6. Step 6: Final answer
    x = 729.17

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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.