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Finding the Fourth Proportional to 2,453.87, 3,680.78 and 605.00

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Solution

The fourth proportional to 2,453.87, 3,680.78 and 605.00 is: 907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.87 : 3,680.78 = 605.00 : x
  2. Step 2: Convert to fraction form
    2,453.87/3,680.78 = 605.00/x
  3. Step 3: Cross multiply
    2,453.87x = 3,680.78 × 605.00
  4. Step 4: Simplify right side
    2,453.87x = 2,226,850.47
  5. Step 5: Solve for x
    x = 2,226,850.47/2,453.87
  6. Step 6: Final answer
    x = 907.49

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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.