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Finding the Fourth Proportional to 635.46, 876.30 and 478.47

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Solution

The fourth proportional to 635.46, 876.30 and 478.47 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.46 : 876.30 = 478.47 : x
  2. Step 2: Convert to fraction form
    635.46/876.30 = 478.47/x
  3. Step 3: Cross multiply
    635.46x = 876.30 × 478.47
  4. Step 4: Simplify right side
    635.46x = 419,283.26
  5. Step 5: Solve for x
    x = 419,283.26/635.46
  6. Step 6: Final answer
    x = 659.81

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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.