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Finding the Fourth Proportional to 883.85, 1,322.62 and 769.52

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Solution

The fourth proportional to 883.85, 1,322.62 and 769.52 is: 1,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.85 : 1,322.62 = 769.52 : x
  2. Step 2: Convert to fraction form
    883.85/1,322.62 = 769.52/x
  3. Step 3: Cross multiply
    883.85x = 1,322.62 × 769.52
  4. Step 4: Simplify right side
    883.85x = 1,017,783.93
  5. Step 5: Solve for x
    x = 1,017,783.93/883.85
  6. Step 6: Final answer
    x = 1,151.54

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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.