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Finding the Fourth Proportional to 490.62, 735.53 and 336.17

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Solution

The fourth proportional to 490.62, 735.53 and 336.17 is: 503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.62 : 735.53 = 336.17 : x
  2. Step 2: Convert to fraction form
    490.62/735.53 = 336.17/x
  3. Step 3: Cross multiply
    490.62x = 735.53 × 336.17
  4. Step 4: Simplify right side
    490.62x = 247,263.28
  5. Step 5: Solve for x
    x = 247,263.28/490.62
  6. Step 6: Final answer
    x = 503.98

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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.