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Finding the Fourth Proportional to 1,382.25, 1,908.14 and 858.59

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Solution

The fourth proportional to 1,382.25, 1,908.14 and 858.59 is: 1,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.25 : 1,908.14 = 858.59 : x
  2. Step 2: Convert to fraction form
    1,382.25/1,908.14 = 858.59/x
  3. Step 3: Cross multiply
    1,382.25x = 1,908.14 × 858.59
  4. Step 4: Simplify right side
    1,382.25x = 1,638,309.92
  5. Step 5: Solve for x
    x = 1,638,309.92/1,382.25
  6. Step 6: Final answer
    x = 1,185.25

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1.5x scale

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.