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Finding the Fourth Proportional to 490.19, 739.96 and 487.45

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Solution

The fourth proportional to 490.19, 739.96 and 487.45 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.19 : 739.96 = 487.45 : x
  2. Step 2: Convert to fraction form
    490.19/739.96 = 487.45/x
  3. Step 3: Cross multiply
    490.19x = 739.96 × 487.45
  4. Step 4: Simplify right side
    490.19x = 360,693.21
  5. Step 5: Solve for x
    x = 360,693.21/490.19
  6. Step 6: Final answer
    x = 735.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.