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Finding the Fourth Proportional to 1,764.98, 2,435.69 and 979.04

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Solution

The fourth proportional to 1,764.98, 2,435.69 and 979.04 is: 1,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.98 : 2,435.69 = 979.04 : x
  2. Step 2: Convert to fraction form
    1,764.98/2,435.69 = 979.04/x
  3. Step 3: Cross multiply
    1,764.98x = 2,435.69 × 979.04
  4. Step 4: Simplify right side
    1,764.98x = 2,384,620.86
  5. Step 5: Solve for x
    x = 2,384,620.86/1,764.98
  6. Step 6: Final answer
    x = 1,351.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.