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Finding the Fourth Proportional to 829.78, 1,249.61 and 722.86

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Solution

The fourth proportional to 829.78, 1,249.61 and 722.86 is: 1,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,249.61 = 722.86 : x
  2. Step 2: Convert to fraction form
    829.78/1,249.61 = 722.86/x
  3. Step 3: Cross multiply
    829.78x = 1,249.61 × 722.86
  4. Step 4: Simplify right side
    829.78x = 903,286.35
  5. Step 5: Solve for x
    x = 903,286.35/829.78
  6. Step 6: Final answer
    x = 1,088.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.