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Finding the Fourth Proportional to 628.16, 942.46 and 281.74

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Solution

The fourth proportional to 628.16, 942.46 and 281.74 is: 422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 942.46 = 281.74 : x
  2. Step 2: Convert to fraction form
    628.16/942.46 = 281.74/x
  3. Step 3: Cross multiply
    628.16x = 942.46 × 281.74
  4. Step 4: Simplify right side
    628.16x = 265,528.68
  5. Step 5: Solve for x
    x = 265,528.68/628.16
  6. Step 6: Final answer
    x = 422.71

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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.