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Finding the Fourth Proportional to 1,226.99, 1,840.98 and 447.05

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Solution

The fourth proportional to 1,226.99, 1,840.98 and 447.05 is: 670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.99 : 1,840.98 = 447.05 : x
  2. Step 2: Convert to fraction form
    1,226.99/1,840.98 = 447.05/x
  3. Step 3: Cross multiply
    1,226.99x = 1,840.98 × 447.05
  4. Step 4: Simplify right side
    1,226.99x = 823,001.28
  5. Step 5: Solve for x
    x = 823,001.28/1,226.99
  6. Step 6: Final answer
    x = 670.75

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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.