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Finding the Fourth Proportional to 1,340.56, 1,848.73 and 920.17

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Solution

The fourth proportional to 1,340.56, 1,848.73 and 920.17 is: 1,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.56 : 1,848.73 = 920.17 : x
  2. Step 2: Convert to fraction form
    1,340.56/1,848.73 = 920.17/x
  3. Step 3: Cross multiply
    1,340.56x = 1,848.73 × 920.17
  4. Step 4: Simplify right side
    1,340.56x = 1,701,132.04
  5. Step 5: Solve for x
    x = 1,701,132.04/1,340.56
  6. Step 6: Final answer
    x = 1,268.98

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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.