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Finding the Fourth Proportional to 793.85, 1,187.40 and 712.18

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Solution

The fourth proportional to 793.85, 1,187.40 and 712.18 is: 1,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,187.40 = 712.18 : x
  2. Step 2: Convert to fraction form
    793.85/1,187.40 = 712.18/x
  3. Step 3: Cross multiply
    793.85x = 1,187.40 × 712.18
  4. Step 4: Simplify right side
    793.85x = 845,636.60
  5. Step 5: Solve for x
    x = 845,636.60/793.85
  6. Step 6: Final answer
    x = 1,065.23

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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.