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Finding the Fourth Proportional to 824.19, 1,235.07 and 694.59

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Solution

The fourth proportional to 824.19, 1,235.07 and 694.59 is: 1,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,235.07 = 694.59 : x
  2. Step 2: Convert to fraction form
    824.19/1,235.07 = 694.59/x
  3. Step 3: Cross multiply
    824.19x = 1,235.07 × 694.59
  4. Step 4: Simplify right side
    824.19x = 857,867.27
  5. Step 5: Solve for x
    x = 857,867.27/824.19
  6. Step 6: Final answer
    x = 1,040.86

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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.