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Finding the Fourth Proportional to 1,415.70, 2,123.44 and 441.79

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Solution

The fourth proportional to 1,415.70, 2,123.44 and 441.79 is: 662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.70 : 2,123.44 = 441.79 : x
  2. Step 2: Convert to fraction form
    1,415.70/2,123.44 = 441.79/x
  3. Step 3: Cross multiply
    1,415.70x = 2,123.44 × 441.79
  4. Step 4: Simplify right side
    1,415.70x = 938,108.14
  5. Step 5: Solve for x
    x = 938,108.14/1,415.70
  6. Step 6: Final answer
    x = 662.65

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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.