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Finding the Fourth Proportional to 881.90, 1,321.73 and 771.94

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Solution

The fourth proportional to 881.90, 1,321.73 and 771.94 is: 1,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.90 : 1,321.73 = 771.94 : x
  2. Step 2: Convert to fraction form
    881.90/1,321.73 = 771.94/x
  3. Step 3: Cross multiply
    881.90x = 1,321.73 × 771.94
  4. Step 4: Simplify right side
    881.90x = 1,020,285.79
  5. Step 5: Solve for x
    x = 1,020,285.79/881.90
  6. Step 6: Final answer
    x = 1,156.92

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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.