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Finding the Fourth Proportional to 1,658.44, 2,474.45 and 1,412.20

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Solution

The fourth proportional to 1,658.44, 2,474.45 and 1,412.20 is: 2,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.44 : 2,474.45 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    1,658.44/2,474.45 = 1,412.20/x
  3. Step 3: Cross multiply
    1,658.44x = 2,474.45 × 1,412.20
  4. Step 4: Simplify right side
    1,658.44x = 3,494,418.29
  5. Step 5: Solve for x
    x = 3,494,418.29/1,658.44
  6. Step 6: Final answer
    x = 2,107.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.