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Finding the Fourth Proportional to 829.81, 1,245.02 and 738.68

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Solution

The fourth proportional to 829.81, 1,245.02 and 738.68 is: 1,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.81 : 1,245.02 = 738.68 : x
  2. Step 2: Convert to fraction form
    829.81/1,245.02 = 738.68/x
  3. Step 3: Cross multiply
    829.81x = 1,245.02 × 738.68
  4. Step 4: Simplify right side
    829.81x = 919,671.37
  5. Step 5: Solve for x
    x = 919,671.37/829.81
  6. Step 6: Final answer
    x = 1,108.29

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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.