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Finding the Fourth Proportional to 1,271.85, 1,908.18 and 450.65

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Solution

The fourth proportional to 1,271.85, 1,908.18 and 450.65 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.85 : 1,908.18 = 450.65 : x
  2. Step 2: Convert to fraction form
    1,271.85/1,908.18 = 450.65/x
  3. Step 3: Cross multiply
    1,271.85x = 1,908.18 × 450.65
  4. Step 4: Simplify right side
    1,271.85x = 859,911.78
  5. Step 5: Solve for x
    x = 859,911.78/1,271.85
  6. Step 6: Final answer
    x = 676.11

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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.