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Finding the Fourth Proportional to 634.23, 949.46 and 359.46

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Solution

The fourth proportional to 634.23, 949.46 and 359.46 is: 538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 949.46 = 359.46 : x
  2. Step 2: Convert to fraction form
    634.23/949.46 = 359.46/x
  3. Step 3: Cross multiply
    634.23x = 949.46 × 359.46
  4. Step 4: Simplify right side
    634.23x = 341,291.09
  5. Step 5: Solve for x
    x = 341,291.09/634.23
  6. Step 6: Final answer
    x = 538.12

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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.