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Finding the Fourth Proportional to 794.60, 1,189.47 and 678.23

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Solution

The fourth proportional to 794.60, 1,189.47 and 678.23 is: 1,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.60 : 1,189.47 = 678.23 : x
  2. Step 2: Convert to fraction form
    794.60/1,189.47 = 678.23/x
  3. Step 3: Cross multiply
    794.60x = 1,189.47 × 678.23
  4. Step 4: Simplify right side
    794.60x = 806,734.24
  5. Step 5: Solve for x
    x = 806,734.24/794.60
  6. Step 6: Final answer
    x = 1,015.27

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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.