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Finding the Fourth Proportional to 460.50, 635.13 and 320.61

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Solution

The fourth proportional to 460.50, 635.13 and 320.61 is: 442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 635.13 = 320.61 : x
  2. Step 2: Convert to fraction form
    460.50/635.13 = 320.61/x
  3. Step 3: Cross multiply
    460.50x = 635.13 × 320.61
  4. Step 4: Simplify right side
    460.50x = 203,629.03
  5. Step 5: Solve for x
    x = 203,629.03/460.50
  6. Step 6: Final answer
    x = 442.19

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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.