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Finding the Fourth Proportional to 942.28, 1,300.02 and 694.12

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Solution

The fourth proportional to 942.28, 1,300.02 and 694.12 is: 957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.28 : 1,300.02 = 694.12 : x
  2. Step 2: Convert to fraction form
    942.28/1,300.02 = 694.12/x
  3. Step 3: Cross multiply
    942.28x = 1,300.02 × 694.12
  4. Step 4: Simplify right side
    942.28x = 902,369.88
  5. Step 5: Solve for x
    x = 902,369.88/942.28
  6. Step 6: Final answer
    x = 957.65

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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.