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Finding the Fourth Proportional to 1,120.41, 1,670.74 and 1,042.49

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Solution

The fourth proportional to 1,120.41, 1,670.74 and 1,042.49 is: 1,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.41 : 1,670.74 = 1,042.49 : x
  2. Step 2: Convert to fraction form
    1,120.41/1,670.74 = 1,042.49/x
  3. Step 3: Cross multiply
    1,120.41x = 1,670.74 × 1,042.49
  4. Step 4: Simplify right side
    1,120.41x = 1,741,731.31
  5. Step 5: Solve for x
    x = 1,741,731.31/1,120.41
  6. Step 6: Final answer
    x = 1,554.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.