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Finding the Fourth Proportional to 1,181.54, 1,771.07 and 400.84

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Solution

The fourth proportional to 1,181.54, 1,771.07 and 400.84 is: 600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.54 : 1,771.07 = 400.84 : x
  2. Step 2: Convert to fraction form
    1,181.54/1,771.07 = 400.84/x
  3. Step 3: Cross multiply
    1,181.54x = 1,771.07 × 400.84
  4. Step 4: Simplify right side
    1,181.54x = 709,909.27
  5. Step 5: Solve for x
    x = 709,909.27/1,181.54
  6. Step 6: Final answer
    x = 600.83

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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.