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Finding the Fourth Proportional to 1,415.42, 2,122.48 and 684.19

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Solution

The fourth proportional to 1,415.42, 2,122.48 and 684.19 is: 1,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.42 : 2,122.48 = 684.19 : x
  2. Step 2: Convert to fraction form
    1,415.42/2,122.48 = 684.19/x
  3. Step 3: Cross multiply
    1,415.42x = 2,122.48 × 684.19
  4. Step 4: Simplify right side
    1,415.42x = 1,452,179.59
  5. Step 5: Solve for x
    x = 1,452,179.59/1,415.42
  6. Step 6: Final answer
    x = 1,025.97

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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.