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Finding the Fourth Proportional to 634.43, 874.32 and 508.25

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Solution

The fourth proportional to 634.43, 874.32 and 508.25 is: 700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.43 : 874.32 = 508.25 : x
  2. Step 2: Convert to fraction form
    634.43/874.32 = 508.25/x
  3. Step 3: Cross multiply
    634.43x = 874.32 × 508.25
  4. Step 4: Simplify right side
    634.43x = 444,373.14
  5. Step 5: Solve for x
    x = 444,373.14/634.43
  6. Step 6: Final answer
    x = 700.43

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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.