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Finding the Fourth Proportional to 634.98, 952.47 and 418.51

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Solution

The fourth proportional to 634.98, 952.47 and 418.51 is: 627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.98 : 952.47 = 418.51 : x
  2. Step 2: Convert to fraction form
    634.98/952.47 = 418.51/x
  3. Step 3: Cross multiply
    634.98x = 952.47 × 418.51
  4. Step 4: Simplify right side
    634.98x = 398,615.84
  5. Step 5: Solve for x
    x = 398,615.84/634.98
  6. Step 6: Final answer
    x = 627.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.