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Finding the Fourth Proportional to 806.09, 1,112.00 and 526.19

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Solution

The fourth proportional to 806.09, 1,112.00 and 526.19 is: 725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.09 : 1,112.00 = 526.19 : x
  2. Step 2: Convert to fraction form
    806.09/1,112.00 = 526.19/x
  3. Step 3: Cross multiply
    806.09x = 1,112.00 × 526.19
  4. Step 4: Simplify right side
    806.09x = 585,115.09
  5. Step 5: Solve for x
    x = 585,115.09/806.09
  6. Step 6: Final answer
    x = 725.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.