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Finding the Fourth Proportional to 1,768.63, 2,653.71 and 844.18

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Solution

The fourth proportional to 1,768.63, 2,653.71 and 844.18 is: 1,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.63 : 2,653.71 = 844.18 : x
  2. Step 2: Convert to fraction form
    1,768.63/2,653.71 = 844.18/x
  3. Step 3: Cross multiply
    1,768.63x = 2,653.71 × 844.18
  4. Step 4: Simplify right side
    1,768.63x = 2,240,208.91
  5. Step 5: Solve for x
    x = 2,240,208.91/1,768.63
  6. Step 6: Final answer
    x = 1,266.64

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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.