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Finding the Fourth Proportional to 794.09, 1,095.79 and 628.70

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Solution

The fourth proportional to 794.09, 1,095.79 and 628.70 is: 867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.09 : 1,095.79 = 628.70 : x
  2. Step 2: Convert to fraction form
    794.09/1,095.79 = 628.70/x
  3. Step 3: Cross multiply
    794.09x = 1,095.79 × 628.70
  4. Step 4: Simplify right side
    794.09x = 688,923.17
  5. Step 5: Solve for x
    x = 688,923.17/794.09
  6. Step 6: Final answer
    x = 867.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.