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Finding the Fourth Proportional to 1,658.06, 2,479.80 and 1,604.60

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Solution

The fourth proportional to 1,658.06, 2,479.80 and 1,604.60 is: 2,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.06 : 2,479.80 = 1,604.60 : x
  2. Step 2: Convert to fraction form
    1,658.06/2,479.80 = 1,604.60/x
  3. Step 3: Cross multiply
    1,658.06x = 2,479.80 × 1,604.60
  4. Step 4: Simplify right side
    1,658.06x = 3,979,087.08
  5. Step 5: Solve for x
    x = 3,979,087.08/1,658.06
  6. Step 6: Final answer
    x = 2,399.85

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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.