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Finding the Fourth Proportional to 1,314.98, 1,803.81 and 1,287.65

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Solution

The fourth proportional to 1,314.98, 1,803.81 and 1,287.65 is: 1,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.98 : 1,803.81 = 1,287.65 : x
  2. Step 2: Convert to fraction form
    1,314.98/1,803.81 = 1,287.65/x
  3. Step 3: Cross multiply
    1,314.98x = 1,803.81 × 1,287.65
  4. Step 4: Simplify right side
    1,314.98x = 2,322,669.51
  5. Step 5: Solve for x
    x = 2,322,669.51/1,314.98
  6. Step 6: Final answer
    x = 1,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.