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Finding the Fourth Proportional to 634.68, 875.87 and 354.91

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Solution

The fourth proportional to 634.68, 875.87 and 354.91 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 875.87 = 354.91 : x
  2. Step 2: Convert to fraction form
    634.68/875.87 = 354.91/x
  3. Step 3: Cross multiply
    634.68x = 875.87 × 354.91
  4. Step 4: Simplify right side
    634.68x = 310,855.02
  5. Step 5: Solve for x
    x = 310,855.02/634.68
  6. Step 6: Final answer
    x = 489.78

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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.