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Finding the Fourth Proportional to 2,005.75, 3,008.90 and 689.64

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Solution

The fourth proportional to 2,005.75, 3,008.90 and 689.64 is: 1,034.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.75 : 3,008.90 = 689.64 : x
  2. Step 2: Convert to fraction form
    2,005.75/3,008.90 = 689.64/x
  3. Step 3: Cross multiply
    2,005.75x = 3,008.90 × 689.64
  4. Step 4: Simplify right side
    2,005.75x = 2,075,057.80
  5. Step 5: Solve for x
    x = 2,075,057.80/2,005.75
  6. Step 6: Final answer
    x = 1,034.55

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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.