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Finding the Fourth Proportional to 853.89, 1,273.74 and 771.81

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Solution

The fourth proportional to 853.89, 1,273.74 and 771.81 is: 1,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.89 : 1,273.74 = 771.81 : x
  2. Step 2: Convert to fraction form
    853.89/1,273.74 = 771.81/x
  3. Step 3: Cross multiply
    853.89x = 1,273.74 × 771.81
  4. Step 4: Simplify right side
    853.89x = 983,085.27
  5. Step 5: Solve for x
    x = 983,085.27/853.89
  6. Step 6: Final answer
    x = 1,151.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.