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Finding the Fourth Proportional to 694.29, 957.24 and 491.97

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Solution

The fourth proportional to 694.29, 957.24 and 491.97 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.29 : 957.24 = 491.97 : x
  2. Step 2: Convert to fraction form
    694.29/957.24 = 491.97/x
  3. Step 3: Cross multiply
    694.29x = 957.24 × 491.97
  4. Step 4: Simplify right side
    694.29x = 470,933.36
  5. Step 5: Solve for x
    x = 470,933.36/694.29
  6. Step 6: Final answer
    x = 678.29

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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.