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Finding the Fourth Proportional to 806.22, 1,204.32 and 585.09

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Solution

The fourth proportional to 806.22, 1,204.32 and 585.09 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.22 : 1,204.32 = 585.09 : x
  2. Step 2: Convert to fraction form
    806.22/1,204.32 = 585.09/x
  3. Step 3: Cross multiply
    806.22x = 1,204.32 × 585.09
  4. Step 4: Simplify right side
    806.22x = 704,629.57
  5. Step 5: Solve for x
    x = 704,629.57/806.22
  6. Step 6: Final answer
    x = 874.00

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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.