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Finding the Fourth Proportional to 1,303.62, 1,798.89 and 806.07

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Solution

The fourth proportional to 1,303.62, 1,798.89 and 806.07 is: 1,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.62 : 1,798.89 = 806.07 : x
  2. Step 2: Convert to fraction form
    1,303.62/1,798.89 = 806.07/x
  3. Step 3: Cross multiply
    1,303.62x = 1,798.89 × 806.07
  4. Step 4: Simplify right side
    1,303.62x = 1,450,031.26
  5. Step 5: Solve for x
    x = 1,450,031.26/1,303.62
  6. Step 6: Final answer
    x = 1,112.31

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