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Finding the Fourth Proportional to 794.61, 1,189.62 and 704.43

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Solution

The fourth proportional to 794.61, 1,189.62 and 704.43 is: 1,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.61 : 1,189.62 = 704.43 : x
  2. Step 2: Convert to fraction form
    794.61/1,189.62 = 704.43/x
  3. Step 3: Cross multiply
    794.61x = 1,189.62 × 704.43
  4. Step 4: Simplify right side
    794.61x = 838,004.02
  5. Step 5: Solve for x
    x = 838,004.02/794.61
  6. Step 6: Final answer
    x = 1,054.61

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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.