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Finding the Fourth Proportional to 921.37, 1,380.68 and 788.81

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Solution

The fourth proportional to 921.37, 1,380.68 and 788.81 is: 1,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.37 : 1,380.68 = 788.81 : x
  2. Step 2: Convert to fraction form
    921.37/1,380.68 = 788.81/x
  3. Step 3: Cross multiply
    921.37x = 1,380.68 × 788.81
  4. Step 4: Simplify right side
    921.37x = 1,089,083.34
  5. Step 5: Solve for x
    x = 1,089,083.34/921.37
  6. Step 6: Final answer
    x = 1,182.03

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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.