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Finding the Fourth Proportional to 634.20, 874.94 and 459.16

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Solution

The fourth proportional to 634.20, 874.94 and 459.16 is: 633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.20 : 874.94 = 459.16 : x
  2. Step 2: Convert to fraction form
    634.20/874.94 = 459.16/x
  3. Step 3: Cross multiply
    634.20x = 874.94 × 459.16
  4. Step 4: Simplify right side
    634.20x = 401,737.45
  5. Step 5: Solve for x
    x = 401,737.45/634.20
  6. Step 6: Final answer
    x = 633.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.