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Finding the Fourth Proportional to 1,279.98, 1,919.94 and 549.06

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Solution

The fourth proportional to 1,279.98, 1,919.94 and 549.06 is: 823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.98 : 1,919.94 = 549.06 : x
  2. Step 2: Convert to fraction form
    1,279.98/1,919.94 = 549.06/x
  3. Step 3: Cross multiply
    1,279.98x = 1,919.94 × 549.06
  4. Step 4: Simplify right side
    1,279.98x = 1,054,162.26
  5. Step 5: Solve for x
    x = 1,054,162.26/1,279.98
  6. Step 6: Final answer
    x = 823.58

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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.