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Finding the Fourth Proportional to 794.10, 1,192.52 and 672.45

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Solution

The fourth proportional to 794.10, 1,192.52 and 672.45 is: 1,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.10 : 1,192.52 = 672.45 : x
  2. Step 2: Convert to fraction form
    794.10/1,192.52 = 672.45/x
  3. Step 3: Cross multiply
    794.10x = 1,192.52 × 672.45
  4. Step 4: Simplify right side
    794.10x = 801,910.07
  5. Step 5: Solve for x
    x = 801,910.07/794.10
  6. Step 6: Final answer
    x = 1,009.84

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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.