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Finding the Fourth Proportional to 794.22, 1,190.60 and 578.22

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Solution

The fourth proportional to 794.22, 1,190.60 and 578.22 is: 866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.22 : 1,190.60 = 578.22 : x
  2. Step 2: Convert to fraction form
    794.22/1,190.60 = 578.22/x
  3. Step 3: Cross multiply
    794.22x = 1,190.60 × 578.22
  4. Step 4: Simplify right side
    794.22x = 688,428.73
  5. Step 5: Solve for x
    x = 688,428.73/794.22
  6. Step 6: Final answer
    x = 866.80

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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.