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Finding the Fourth Proportional to 460.85, 635.79 and 303.56

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Solution

The fourth proportional to 460.85, 635.79 and 303.56 is: 418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.85 : 635.79 = 303.56 : x
  2. Step 2: Convert to fraction form
    460.85/635.79 = 303.56/x
  3. Step 3: Cross multiply
    460.85x = 635.79 × 303.56
  4. Step 4: Simplify right side
    460.85x = 192,999.52
  5. Step 5: Solve for x
    x = 192,999.52/460.85
  6. Step 6: Final answer
    x = 418.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.