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Finding the Fourth Proportional to 460.60, 635.44 and 320.83

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Solution

The fourth proportional to 460.60, 635.44 and 320.83 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.60 : 635.44 = 320.83 : x
  2. Step 2: Convert to fraction form
    460.60/635.44 = 320.83/x
  3. Step 3: Cross multiply
    460.60x = 635.44 × 320.83
  4. Step 4: Simplify right side
    460.60x = 203,868.22
  5. Step 5: Solve for x
    x = 203,868.22/460.60
  6. Step 6: Final answer
    x = 442.61

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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.