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Finding the Fourth Proportional to 694.13, 957.67 and 494.99

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Solution

The fourth proportional to 694.13, 957.67 and 494.99 is: 682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.13 : 957.67 = 494.99 : x
  2. Step 2: Convert to fraction form
    694.13/957.67 = 494.99/x
  3. Step 3: Cross multiply
    694.13x = 957.67 × 494.99
  4. Step 4: Simplify right side
    694.13x = 474,042.81
  5. Step 5: Solve for x
    x = 474,042.81/694.13
  6. Step 6: Final answer
    x = 682.93

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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.