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Finding the Fourth Proportional to 490.85, 732.38 and 486.06

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Solution

The fourth proportional to 490.85, 732.38 and 486.06 is: 725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.85 : 732.38 = 486.06 : x
  2. Step 2: Convert to fraction form
    490.85/732.38 = 486.06/x
  3. Step 3: Cross multiply
    490.85x = 732.38 × 486.06
  4. Step 4: Simplify right side
    490.85x = 355,978.19
  5. Step 5: Solve for x
    x = 355,978.19/490.85
  6. Step 6: Final answer
    x = 725.24

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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.