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Finding the Fourth Proportional to 2,765.78, 4,148.53 and 685.77

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Solution

The fourth proportional to 2,765.78, 4,148.53 and 685.77 is: 1,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.78 : 4,148.53 = 685.77 : x
  2. Step 2: Convert to fraction form
    2,765.78/4,148.53 = 685.77/x
  3. Step 3: Cross multiply
    2,765.78x = 4,148.53 × 685.77
  4. Step 4: Simplify right side
    2,765.78x = 2,844,937.42
  5. Step 5: Solve for x
    x = 2,844,937.42/2,765.78
  6. Step 6: Final answer
    x = 1,028.62

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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.