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Finding the Fourth Proportional to 794.66, 1,189.87 and 428.31

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Solution

The fourth proportional to 794.66, 1,189.87 and 428.31 is: 641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.66 : 1,189.87 = 428.31 : x
  2. Step 2: Convert to fraction form
    794.66/1,189.87 = 428.31/x
  3. Step 3: Cross multiply
    794.66x = 1,189.87 × 428.31
  4. Step 4: Simplify right side
    794.66x = 509,632.15
  5. Step 5: Solve for x
    x = 509,632.15/794.66
  6. Step 6: Final answer
    x = 641.33

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1.5x scale

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.