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Finding the Fourth Proportional to 694.94, 1,034.79 and 687.20

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Solution

The fourth proportional to 694.94, 1,034.79 and 687.20 is: 1,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.94 : 1,034.79 = 687.20 : x
  2. Step 2: Convert to fraction form
    694.94/1,034.79 = 687.20/x
  3. Step 3: Cross multiply
    694.94x = 1,034.79 × 687.20
  4. Step 4: Simplify right side
    694.94x = 711,099.94
  5. Step 5: Solve for x
    x = 711,099.94/694.94
  6. Step 6: Final answer
    x = 1,023.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.