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Finding the Fourth Proportional to 3,074.00, 4,610.99 and 765.50

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Solution

The fourth proportional to 3,074.00, 4,610.99 and 765.50 is: 1,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.00 : 4,610.99 = 765.50 : x
  2. Step 2: Convert to fraction form
    3,074.00/4,610.99 = 765.50/x
  3. Step 3: Cross multiply
    3,074.00x = 4,610.99 × 765.50
  4. Step 4: Simplify right side
    3,074.00x = 3,529,685.96
  5. Step 5: Solve for x
    x = 3,529,685.96/3,074.00
  6. Step 6: Final answer
    x = 1,148.24

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Similar ratio
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1.5x scale

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.