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Finding the Fourth Proportional to 942.85, 1,301.68 and 628.56

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Solution

The fourth proportional to 942.85, 1,301.68 and 628.56 is: 867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.85 : 1,301.68 = 628.56 : x
  2. Step 2: Convert to fraction form
    942.85/1,301.68 = 628.56/x
  3. Step 3: Cross multiply
    942.85x = 1,301.68 × 628.56
  4. Step 4: Simplify right side
    942.85x = 818,183.98
  5. Step 5: Solve for x
    x = 818,183.98/942.85
  6. Step 6: Final answer
    x = 867.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.