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Finding the Fourth Proportional to 823.89, 1,142.80 and 794.34

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Solution

The fourth proportional to 823.89, 1,142.80 and 794.34 is: 1,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.89 : 1,142.80 = 794.34 : x
  2. Step 2: Convert to fraction form
    823.89/1,142.80 = 794.34/x
  3. Step 3: Cross multiply
    823.89x = 1,142.80 × 794.34
  4. Step 4: Simplify right side
    823.89x = 907,774.05
  5. Step 5: Solve for x
    x = 907,774.05/823.89
  6. Step 6: Final answer
    x = 1,101.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.