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Finding the Fourth Proportional to 1,356.33, 2,037.22 and 809.58

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Solution

The fourth proportional to 1,356.33, 2,037.22 and 809.58 is: 1,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.33 : 2,037.22 = 809.58 : x
  2. Step 2: Convert to fraction form
    1,356.33/2,037.22 = 809.58/x
  3. Step 3: Cross multiply
    1,356.33x = 2,037.22 × 809.58
  4. Step 4: Simplify right side
    1,356.33x = 1,649,280.36
  5. Step 5: Solve for x
    x = 1,649,280.36/1,356.33
  6. Step 6: Final answer
    x = 1,215.99

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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.