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Finding the Fourth Proportional to 1,776.56, 2,665.44 and 910.64

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Solution

The fourth proportional to 1,776.56, 2,665.44 and 910.64 is: 1,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.56 : 2,665.44 = 910.64 : x
  2. Step 2: Convert to fraction form
    1,776.56/2,665.44 = 910.64/x
  3. Step 3: Cross multiply
    1,776.56x = 2,665.44 × 910.64
  4. Step 4: Simplify right side
    1,776.56x = 2,427,256.28
  5. Step 5: Solve for x
    x = 2,427,256.28/1,776.56
  6. Step 6: Final answer
    x = 1,366.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.