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Finding the Fourth Proportional to 1,183.76, 1,784 and 1,068.40

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Solution

The fourth proportional to 1,183.76, 1,784 and 1,068.40 is: 1,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.76 : 1,784 = 1,068.40 : x
  2. Step 2: Convert to fraction form
    1,183.76/1,784 = 1,068.40/x
  3. Step 3: Cross multiply
    1,183.76x = 1,784 × 1,068.40
  4. Step 4: Simplify right side
    1,183.76x = 1,906,025.60
  5. Step 5: Solve for x
    x = 1,906,025.60/1,183.76
  6. Step 6: Final answer
    x = 1,610.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.