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Finding the Fourth Proportional to 1,072.98, 1,480.82 and 674.94

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Solution

The fourth proportional to 1,072.98, 1,480.82 and 674.94 is: 931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.98 : 1,480.82 = 674.94 : x
  2. Step 2: Convert to fraction form
    1,072.98/1,480.82 = 674.94/x
  3. Step 3: Cross multiply
    1,072.98x = 1,480.82 × 674.94
  4. Step 4: Simplify right side
    1,072.98x = 999,464.65
  5. Step 5: Solve for x
    x = 999,464.65/1,072.98
  6. Step 6: Final answer
    x = 931.48

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Why These Related Problems?

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