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Finding the Fourth Proportional to 881.54, 1,318.42 and 784.73

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Solution

The fourth proportional to 881.54, 1,318.42 and 784.73 is: 1,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.54 : 1,318.42 = 784.73 : x
  2. Step 2: Convert to fraction form
    881.54/1,318.42 = 784.73/x
  3. Step 3: Cross multiply
    881.54x = 1,318.42 × 784.73
  4. Step 4: Simplify right side
    881.54x = 1,034,603.73
  5. Step 5: Solve for x
    x = 1,034,603.73/881.54
  6. Step 6: Final answer
    x = 1,173.63

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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.