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Finding the Fourth Proportional to 490.86, 739.73 and 460.10

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Solution

The fourth proportional to 490.86, 739.73 and 460.10 is: 693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 739.73 = 460.10 : x
  2. Step 2: Convert to fraction form
    490.86/739.73 = 460.10/x
  3. Step 3: Cross multiply
    490.86x = 739.73 × 460.10
  4. Step 4: Simplify right side
    490.86x = 340,349.77
  5. Step 5: Solve for x
    x = 340,349.77/490.86
  6. Step 6: Final answer
    x = 693.37

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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.