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Finding the Fourth Proportional to 942.72, 1,302.12 and 680.28

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Solution

The fourth proportional to 942.72, 1,302.12 and 680.28 is: 939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.72 : 1,302.12 = 680.28 : x
  2. Step 2: Convert to fraction form
    942.72/1,302.12 = 680.28/x
  3. Step 3: Cross multiply
    942.72x = 1,302.12 × 680.28
  4. Step 4: Simplify right side
    942.72x = 885,806.19
  5. Step 5: Solve for x
    x = 885,806.19/942.72
  6. Step 6: Final answer
    x = 939.63

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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.