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Finding the Fourth Proportional to 634.09, 874.07 and 608.17

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Solution

The fourth proportional to 634.09, 874.07 and 608.17 is: 838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.09 : 874.07 = 608.17 : x
  2. Step 2: Convert to fraction form
    634.09/874.07 = 608.17/x
  3. Step 3: Cross multiply
    634.09x = 874.07 × 608.17
  4. Step 4: Simplify right side
    634.09x = 531,580.11
  5. Step 5: Solve for x
    x = 531,580.11/634.09
  6. Step 6: Final answer
    x = 838.34

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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.