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Finding the Fourth Proportional to 1,039.33, 1,560.36 and 809.69

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Solution

The fourth proportional to 1,039.33, 1,560.36 and 809.69 is: 1,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.33 : 1,560.36 = 809.69 : x
  2. Step 2: Convert to fraction form
    1,039.33/1,560.36 = 809.69/x
  3. Step 3: Cross multiply
    1,039.33x = 1,560.36 × 809.69
  4. Step 4: Simplify right side
    1,039.33x = 1,263,403.84
  5. Step 5: Solve for x
    x = 1,263,403.84/1,039.33
  6. Step 6: Final answer
    x = 1,215.60

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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.