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Finding the Fourth Proportional to 829.78, 1,243.20 and 693.70

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Solution

The fourth proportional to 829.78, 1,243.20 and 693.70 is: 1,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,243.20 = 693.70 : x
  2. Step 2: Convert to fraction form
    829.78/1,243.20 = 693.70/x
  3. Step 3: Cross multiply
    829.78x = 1,243.20 × 693.70
  4. Step 4: Simplify right side
    829.78x = 862,407.84
  5. Step 5: Solve for x
    x = 862,407.84/829.78
  6. Step 6: Final answer
    x = 1,039.32

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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.