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Finding the Fourth Proportional to 799.77, 1,197.90 and 645.33

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Solution

The fourth proportional to 799.77, 1,197.90 and 645.33 is: 966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.77 : 1,197.90 = 645.33 : x
  2. Step 2: Convert to fraction form
    799.77/1,197.90 = 645.33/x
  3. Step 3: Cross multiply
    799.77x = 1,197.90 × 645.33
  4. Step 4: Simplify right side
    799.77x = 773,040.81
  5. Step 5: Solve for x
    x = 773,040.81/799.77
  6. Step 6: Final answer
    x = 966.58

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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.