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Finding the Fourth Proportional to 1,416.72, 2,121.99 and 684.75

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Solution

The fourth proportional to 1,416.72, 2,121.99 and 684.75 is: 1,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.72 : 2,121.99 = 684.75 : x
  2. Step 2: Convert to fraction form
    1,416.72/2,121.99 = 684.75/x
  3. Step 3: Cross multiply
    1,416.72x = 2,121.99 × 684.75
  4. Step 4: Simplify right side
    1,416.72x = 1,453,032.65
  5. Step 5: Solve for x
    x = 1,453,032.65/1,416.72
  6. Step 6: Final answer
    x = 1,025.64

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Why These Related Problems?

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