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Finding the Fourth Proportional to 635.12, 875.28 and 457.78

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Solution

The fourth proportional to 635.12, 875.28 and 457.78 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.12 : 875.28 = 457.78 : x
  2. Step 2: Convert to fraction form
    635.12/875.28 = 457.78/x
  3. Step 3: Cross multiply
    635.12x = 875.28 × 457.78
  4. Step 4: Simplify right side
    635.12x = 400,685.68
  5. Step 5: Solve for x
    x = 400,685.68/635.12
  6. Step 6: Final answer
    x = 630.88

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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.