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Finding the Fourth Proportional to 1,072.12, 1,608.78 and 585.16

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Solution

The fourth proportional to 1,072.12, 1,608.78 and 585.16 is: 878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.12 : 1,608.78 = 585.16 : x
  2. Step 2: Convert to fraction form
    1,072.12/1,608.78 = 585.16/x
  3. Step 3: Cross multiply
    1,072.12x = 1,608.78 × 585.16
  4. Step 4: Simplify right side
    1,072.12x = 941,393.70
  5. Step 5: Solve for x
    x = 941,393.70/1,072.12
  6. Step 6: Final answer
    x = 878.07

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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.