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Finding the Fourth Proportional to 1,726.49, 2,382.57 and 940.55

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Solution

The fourth proportional to 1,726.49, 2,382.57 and 940.55 is: 1,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.49 : 2,382.57 = 940.55 : x
  2. Step 2: Convert to fraction form
    1,726.49/2,382.57 = 940.55/x
  3. Step 3: Cross multiply
    1,726.49x = 2,382.57 × 940.55
  4. Step 4: Simplify right side
    1,726.49x = 2,240,914.30
  5. Step 5: Solve for x
    x = 2,240,914.30/1,726.49
  6. Step 6: Final answer
    x = 1,297.96

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1.5x scale

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.