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Finding the Fourth Proportional to 1,360.86, 1,880.73 and 1,229.10

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Solution

The fourth proportional to 1,360.86, 1,880.73 and 1,229.10 is: 1,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.86 : 1,880.73 = 1,229.10 : x
  2. Step 2: Convert to fraction form
    1,360.86/1,880.73 = 1,229.10/x
  3. Step 3: Cross multiply
    1,360.86x = 1,880.73 × 1,229.10
  4. Step 4: Simplify right side
    1,360.86x = 2,311,605.24
  5. Step 5: Solve for x
    x = 2,311,605.24/1,360.86
  6. Step 6: Final answer
    x = 1,698.64

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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.