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Finding the Fourth Proportional to 894.53, 1,233.77 and 783.80

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Solution

The fourth proportional to 894.53, 1,233.77 and 783.80 is: 1,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.53 : 1,233.77 = 783.80 : x
  2. Step 2: Convert to fraction form
    894.53/1,233.77 = 783.80/x
  3. Step 3: Cross multiply
    894.53x = 1,233.77 × 783.80
  4. Step 4: Simplify right side
    894.53x = 967,028.09
  5. Step 5: Solve for x
    x = 967,028.09/894.53
  6. Step 6: Final answer
    x = 1,081.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.