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Finding the Fourth Proportional to 853.12, 1,278.60 and 365.68

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Solution

The fourth proportional to 853.12, 1,278.60 and 365.68 is: 548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.12 : 1,278.60 = 365.68 : x
  2. Step 2: Convert to fraction form
    853.12/1,278.60 = 365.68/x
  3. Step 3: Cross multiply
    853.12x = 1,278.60 × 365.68
  4. Step 4: Simplify right side
    853.12x = 467,558.45
  5. Step 5: Solve for x
    x = 467,558.45/853.12
  6. Step 6: Final answer
    x = 548.06

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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.