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Finding the Fourth Proportional to 2,968.85, 4,452.94 and 777.75

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Solution

The fourth proportional to 2,968.85, 4,452.94 and 777.75 is: 1,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.85 : 4,452.94 = 777.75 : x
  2. Step 2: Convert to fraction form
    2,968.85/4,452.94 = 777.75/x
  3. Step 3: Cross multiply
    2,968.85x = 4,452.94 × 777.75
  4. Step 4: Simplify right side
    2,968.85x = 3,463,280.13
  5. Step 5: Solve for x
    x = 3,463,280.13/2,968.85
  6. Step 6: Final answer
    x = 1,166.54

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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.