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Finding the Fourth Proportional to 490.86, 741.86 and 482.36

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Solution

The fourth proportional to 490.86, 741.86 and 482.36 is: 729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 741.86 = 482.36 : x
  2. Step 2: Convert to fraction form
    490.86/741.86 = 482.36/x
  3. Step 3: Cross multiply
    490.86x = 741.86 × 482.36
  4. Step 4: Simplify right side
    490.86x = 357,843.59
  5. Step 5: Solve for x
    x = 357,843.59/490.86
  6. Step 6: Final answer
    x = 729.01

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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.