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Finding the Fourth Proportional to 1,777.37, 2,661.98 and 853.58

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Solution

The fourth proportional to 1,777.37, 2,661.98 and 853.58 is: 1,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.37 : 2,661.98 = 853.58 : x
  2. Step 2: Convert to fraction form
    1,777.37/2,661.98 = 853.58/x
  3. Step 3: Cross multiply
    1,777.37x = 2,661.98 × 853.58
  4. Step 4: Simplify right side
    1,777.37x = 2,272,195.31
  5. Step 5: Solve for x
    x = 2,272,195.31/1,777.37
  6. Step 6: Final answer
    x = 1,278.41

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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.