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Finding the Fourth Proportional to 1,181.12, 1,771.88 and 770.45

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Solution

The fourth proportional to 1,181.12, 1,771.88 and 770.45 is: 1,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.12 : 1,771.88 = 770.45 : x
  2. Step 2: Convert to fraction form
    1,181.12/1,771.88 = 770.45/x
  3. Step 3: Cross multiply
    1,181.12x = 1,771.88 × 770.45
  4. Step 4: Simplify right side
    1,181.12x = 1,365,132.23
  5. Step 5: Solve for x
    x = 1,365,132.23/1,181.12
  6. Step 6: Final answer
    x = 1,155.80

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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.