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Finding the Fourth Proportional to 1,415.78, 2,123.91 and 441.69

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Solution

The fourth proportional to 1,415.78, 2,123.91 and 441.69 is: 662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.78 : 2,123.91 = 441.69 : x
  2. Step 2: Convert to fraction form
    1,415.78/2,123.91 = 441.69/x
  3. Step 3: Cross multiply
    1,415.78x = 2,123.91 × 441.69
  4. Step 4: Simplify right side
    1,415.78x = 938,109.81
  5. Step 5: Solve for x
    x = 938,109.81/1,415.78
  6. Step 6: Final answer
    x = 662.61

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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.