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Finding the Fourth Proportional to 634.96, 875.32 and 447.88

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Solution

The fourth proportional to 634.96, 875.32 and 447.88 is: 617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.96 : 875.32 = 447.88 : x
  2. Step 2: Convert to fraction form
    634.96/875.32 = 447.88/x
  3. Step 3: Cross multiply
    634.96x = 875.32 × 447.88
  4. Step 4: Simplify right side
    634.96x = 392,038.32
  5. Step 5: Solve for x
    x = 392,038.32/634.96
  6. Step 6: Final answer
    x = 617.42

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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.