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Finding the Fourth Proportional to 634.35, 874.73 and 435.47

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Solution

The fourth proportional to 634.35, 874.73 and 435.47 is: 600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.35 : 874.73 = 435.47 : x
  2. Step 2: Convert to fraction form
    634.35/874.73 = 435.47/x
  3. Step 3: Cross multiply
    634.35x = 874.73 × 435.47
  4. Step 4: Simplify right side
    634.35x = 380,921.95
  5. Step 5: Solve for x
    x = 380,921.95/634.35
  6. Step 6: Final answer
    x = 600.49

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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.