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Finding the Fourth Proportional to 1,291.44, 1,937.16 and 908.40

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Solution

The fourth proportional to 1,291.44, 1,937.16 and 908.40 is: 1,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.44 : 1,937.16 = 908.40 : x
  2. Step 2: Convert to fraction form
    1,291.44/1,937.16 = 908.40/x
  3. Step 3: Cross multiply
    1,291.44x = 1,937.16 × 908.40
  4. Step 4: Simplify right side
    1,291.44x = 1,759,716.14
  5. Step 5: Solve for x
    x = 1,759,716.14/1,291.44
  6. Step 6: Final answer
    x = 1,362.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.