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Finding the Fourth Proportional to 694.92, 957.24 and 649.56

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Solution

The fourth proportional to 694.92, 957.24 and 649.56 is: 894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.92 : 957.24 = 649.56 : x
  2. Step 2: Convert to fraction form
    694.92/957.24 = 649.56/x
  3. Step 3: Cross multiply
    694.92x = 957.24 × 649.56
  4. Step 4: Simplify right side
    694.92x = 621,784.81
  5. Step 5: Solve for x
    x = 621,784.81/694.92
  6. Step 6: Final answer
    x = 894.76

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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.