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Finding the Fourth Proportional to 634.68, 875.90 and 369.22

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Solution

The fourth proportional to 634.68, 875.90 and 369.22 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 875.90 = 369.22 : x
  2. Step 2: Convert to fraction form
    634.68/875.90 = 369.22/x
  3. Step 3: Cross multiply
    634.68x = 875.90 × 369.22
  4. Step 4: Simplify right side
    634.68x = 323,399.80
  5. Step 5: Solve for x
    x = 323,399.80/634.68
  6. Step 6: Final answer
    x = 509.55

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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.