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Finding the Fourth Proportional to 460.82, 635.74 and 286.06

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Solution

The fourth proportional to 460.82, 635.74 and 286.06 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 635.74 = 286.06 : x
  2. Step 2: Convert to fraction form
    460.82/635.74 = 286.06/x
  3. Step 3: Cross multiply
    460.82x = 635.74 × 286.06
  4. Step 4: Simplify right side
    460.82x = 181,859.78
  5. Step 5: Solve for x
    x = 181,859.78/460.82
  6. Step 6: Final answer
    x = 394.64

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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.