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Finding the Fourth Proportional to 1,415.76, 2,123.72 and 441.84

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Solution

The fourth proportional to 1,415.76, 2,123.72 and 441.84 is: 662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.76 : 2,123.72 = 441.84 : x
  2. Step 2: Convert to fraction form
    1,415.76/2,123.72 = 441.84/x
  3. Step 3: Cross multiply
    1,415.76x = 2,123.72 × 441.84
  4. Step 4: Simplify right side
    1,415.76x = 938,344.44
  5. Step 5: Solve for x
    x = 938,344.44/1,415.76
  6. Step 6: Final answer
    x = 662.78

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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.