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Finding the Fourth Proportional to 694.01, 1,040.27 and 342.86

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Solution

The fourth proportional to 694.01, 1,040.27 and 342.86 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.01 : 1,040.27 = 342.86 : x
  2. Step 2: Convert to fraction form
    694.01/1,040.27 = 342.86/x
  3. Step 3: Cross multiply
    694.01x = 1,040.27 × 342.86
  4. Step 4: Simplify right side
    694.01x = 356,660.06
  5. Step 5: Solve for x
    x = 356,660.06/694.01
  6. Step 6: Final answer
    x = 513.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.