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Finding the Fourth Proportional to 634.42, 874.36 and 459.46

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Solution

The fourth proportional to 634.42, 874.36 and 459.46 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.42 : 874.36 = 459.46 : x
  2. Step 2: Convert to fraction form
    634.42/874.36 = 459.46/x
  3. Step 3: Cross multiply
    634.42x = 874.36 × 459.46
  4. Step 4: Simplify right side
    634.42x = 401,733.45
  5. Step 5: Solve for x
    x = 401,733.45/634.42
  6. Step 6: Final answer
    x = 633.23

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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.