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Finding the Fourth Proportional to 635.80, 875.46 and 478.66

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Solution

The fourth proportional to 635.80, 875.46 and 478.66 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.80 : 875.46 = 478.66 : x
  2. Step 2: Convert to fraction form
    635.80/875.46 = 478.66/x
  3. Step 3: Cross multiply
    635.80x = 875.46 × 478.66
  4. Step 4: Simplify right side
    635.80x = 419,047.68
  5. Step 5: Solve for x
    x = 419,047.68/635.80
  6. Step 6: Final answer
    x = 659.09

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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.