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Finding the Fourth Proportional to 632.50, 948.27 and 343.54

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Solution

The fourth proportional to 632.50, 948.27 and 343.54 is: 515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.50 : 948.27 = 343.54 : x
  2. Step 2: Convert to fraction form
    632.50/948.27 = 343.54/x
  3. Step 3: Cross multiply
    632.50x = 948.27 × 343.54
  4. Step 4: Simplify right side
    632.50x = 325,768.68
  5. Step 5: Solve for x
    x = 325,768.68/632.50
  6. Step 6: Final answer
    x = 515.05

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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.