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Finding the Fourth Proportional to 634.68, 876.06 and 398.70

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Solution

The fourth proportional to 634.68, 876.06 and 398.70 is: 550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.68 : 876.06 = 398.70 : x
  2. Step 2: Convert to fraction form
    634.68/876.06 = 398.70/x
  3. Step 3: Cross multiply
    634.68x = 876.06 × 398.70
  4. Step 4: Simplify right side
    634.68x = 349,285.12
  5. Step 5: Solve for x
    x = 349,285.12/634.68
  6. Step 6: Final answer
    x = 550.33

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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.