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Finding the Fourth Proportional to 1,271.01, 1,906.49 and 346.65

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Solution

The fourth proportional to 1,271.01, 1,906.49 and 346.65 is: 519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.01 : 1,906.49 = 346.65 : x
  2. Step 2: Convert to fraction form
    1,271.01/1,906.49 = 346.65/x
  3. Step 3: Cross multiply
    1,271.01x = 1,906.49 × 346.65
  4. Step 4: Simplify right side
    1,271.01x = 660,883.03
  5. Step 5: Solve for x
    x = 660,883.03/1,271.01
  6. Step 6: Final answer
    x = 519.97

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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.