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Finding the Fourth Proportional to 1,426.82, 1,968.98 and 805.82

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Solution

The fourth proportional to 1,426.82, 1,968.98 and 805.82 is: 1,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.82 : 1,968.98 = 805.82 : x
  2. Step 2: Convert to fraction form
    1,426.82/1,968.98 = 805.82/x
  3. Step 3: Cross multiply
    1,426.82x = 1,968.98 × 805.82
  4. Step 4: Simplify right side
    1,426.82x = 1,586,643.46
  5. Step 5: Solve for x
    x = 1,586,643.46/1,426.82
  6. Step 6: Final answer
    x = 1,112.01

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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.