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Finding the Fourth Proportional to 707.38, 980.27 and 694.42

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Solution

The fourth proportional to 707.38, 980.27 and 694.42 is: 962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.38 : 980.27 = 694.42 : x
  2. Step 2: Convert to fraction form
    707.38/980.27 = 694.42/x
  3. Step 3: Cross multiply
    707.38x = 980.27 × 694.42
  4. Step 4: Simplify right side
    707.38x = 680,719.09
  5. Step 5: Solve for x
    x = 680,719.09/707.38
  6. Step 6: Final answer
    x = 962.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.