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Finding the Fourth Proportional to 920.99, 1,380.11 and 788.43

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Solution

The fourth proportional to 920.99, 1,380.11 and 788.43 is: 1,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.99 : 1,380.11 = 788.43 : x
  2. Step 2: Convert to fraction form
    920.99/1,380.11 = 788.43/x
  3. Step 3: Cross multiply
    920.99x = 1,380.11 × 788.43
  4. Step 4: Simplify right side
    920.99x = 1,088,120.13
  5. Step 5: Solve for x
    x = 1,088,120.13/920.99
  6. Step 6: Final answer
    x = 1,181.47

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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.