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Finding the Fourth Proportional to 635.42, 880.28 and 620.30

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Solution

The fourth proportional to 635.42, 880.28 and 620.30 is: 859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.42 : 880.28 = 620.30 : x
  2. Step 2: Convert to fraction form
    635.42/880.28 = 620.30/x
  3. Step 3: Cross multiply
    635.42x = 880.28 × 620.30
  4. Step 4: Simplify right side
    635.42x = 546,037.68
  5. Step 5: Solve for x
    x = 546,037.68/635.42
  6. Step 6: Final answer
    x = 859.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.