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Finding the Fourth Proportional to 635.20, 875.94 and 458.08

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Solution

The fourth proportional to 635.20, 875.94 and 458.08 is: 631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.20 : 875.94 = 458.08 : x
  2. Step 2: Convert to fraction form
    635.20/875.94 = 458.08/x
  3. Step 3: Cross multiply
    635.20x = 875.94 × 458.08
  4. Step 4: Simplify right side
    635.20x = 401,250.60
  5. Step 5: Solve for x
    x = 401,250.60/635.20
  6. Step 6: Final answer
    x = 631.69

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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.