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Finding the Fourth Proportional to 1,415.45, 2,122.07 and 684.83

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Solution

The fourth proportional to 1,415.45, 2,122.07 and 684.83 is: 1,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.45 : 2,122.07 = 684.83 : x
  2. Step 2: Convert to fraction form
    1,415.45/2,122.07 = 684.83/x
  3. Step 3: Cross multiply
    1,415.45x = 2,122.07 × 684.83
  4. Step 4: Simplify right side
    1,415.45x = 1,453,253.77
  5. Step 5: Solve for x
    x = 1,453,253.77/1,415.45
  6. Step 6: Final answer
    x = 1,026.71

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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.