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Finding the Fourth Proportional to 635.38, 875.70 and 438.64

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Solution

The fourth proportional to 635.38, 875.70 and 438.64 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.38 : 875.70 = 438.64 : x
  2. Step 2: Convert to fraction form
    635.38/875.70 = 438.64/x
  3. Step 3: Cross multiply
    635.38x = 875.70 × 438.64
  4. Step 4: Simplify right side
    635.38x = 384,117.05
  5. Step 5: Solve for x
    x = 384,117.05/635.38
  6. Step 6: Final answer
    x = 604.55

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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.