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Finding the Fourth Proportional to 1,115.56, 1,674.41 and 538.84

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Solution

The fourth proportional to 1,115.56, 1,674.41 and 538.84 is: 808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.56 : 1,674.41 = 538.84 : x
  2. Step 2: Convert to fraction form
    1,115.56/1,674.41 = 538.84/x
  3. Step 3: Cross multiply
    1,115.56x = 1,674.41 × 538.84
  4. Step 4: Simplify right side
    1,115.56x = 902,239.08
  5. Step 5: Solve for x
    x = 902,239.08/1,115.56
  6. Step 6: Final answer
    x = 808.78

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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.