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Finding the Fourth Proportional to 799.49, 1,193.54 and 676.44

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Solution

The fourth proportional to 799.49, 1,193.54 and 676.44 is: 1,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.49 : 1,193.54 = 676.44 : x
  2. Step 2: Convert to fraction form
    799.49/1,193.54 = 676.44/x
  3. Step 3: Cross multiply
    799.49x = 1,193.54 × 676.44
  4. Step 4: Simplify right side
    799.49x = 807,358.20
  5. Step 5: Solve for x
    x = 807,358.20/799.49
  6. Step 6: Final answer
    x = 1,009.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.