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Finding the Fourth Proportional to 634.68, 876.02 and 398.84

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Solution

The fourth proportional to 634.68, 876.02 and 398.84 is: 550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 876.02 = 398.84 : x
  2. Step 2: Convert to fraction form
    634.68/876.02 = 398.84/x
  3. Step 3: Cross multiply
    634.68x = 876.02 × 398.84
  4. Step 4: Simplify right side
    634.68x = 349,385.44
  5. Step 5: Solve for x
    x = 349,385.44/634.68
  6. Step 6: Final answer
    x = 550.49

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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.