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Finding the Fourth Proportional to 1,850.19, 2,773.66 and 696.75

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Solution

The fourth proportional to 1,850.19, 2,773.66 and 696.75 is: 1,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.19 : 2,773.66 = 696.75 : x
  2. Step 2: Convert to fraction form
    1,850.19/2,773.66 = 696.75/x
  3. Step 3: Cross multiply
    1,850.19x = 2,773.66 × 696.75
  4. Step 4: Simplify right side
    1,850.19x = 1,932,547.61
  5. Step 5: Solve for x
    x = 1,932,547.61/1,850.19
  6. Step 6: Final answer
    x = 1,044.51

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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.