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Finding the Fourth Proportional to 1,376.44, 1,899.02 and 786.55

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Solution

The fourth proportional to 1,376.44, 1,899.02 and 786.55 is: 1,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.44 : 1,899.02 = 786.55 : x
  2. Step 2: Convert to fraction form
    1,376.44/1,899.02 = 786.55/x
  3. Step 3: Cross multiply
    1,376.44x = 1,899.02 × 786.55
  4. Step 4: Simplify right side
    1,376.44x = 1,493,670.25
  5. Step 5: Solve for x
    x = 1,493,670.25/1,376.44
  6. Step 6: Final answer
    x = 1,085.17

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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.