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Finding the Fourth Proportional to 1,279.46, 1,919.60 and 971.66

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Solution

The fourth proportional to 1,279.46, 1,919.60 and 971.66 is: 1,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.46 : 1,919.60 = 971.66 : x
  2. Step 2: Convert to fraction form
    1,279.46/1,919.60 = 971.66/x
  3. Step 3: Cross multiply
    1,279.46x = 1,919.60 × 971.66
  4. Step 4: Simplify right side
    1,279.46x = 1,865,198.54
  5. Step 5: Solve for x
    x = 1,865,198.54/1,279.46
  6. Step 6: Final answer
    x = 1,457.80

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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.