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Finding the Fourth Proportional to 930.99, 1,396.77 and 383.43

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Solution

The fourth proportional to 930.99, 1,396.77 and 383.43 is: 575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.99 : 1,396.77 = 383.43 : x
  2. Step 2: Convert to fraction form
    930.99/1,396.77 = 383.43/x
  3. Step 3: Cross multiply
    930.99x = 1,396.77 × 383.43
  4. Step 4: Simplify right side
    930.99x = 535,556.54
  5. Step 5: Solve for x
    x = 535,556.54/930.99
  6. Step 6: Final answer
    x = 575.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.