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Finding the Fourth Proportional to 1,366.76, 1,886 and 777.26

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Solution

The fourth proportional to 1,366.76, 1,886 and 777.26 is: 1,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.76 : 1,886 = 777.26 : x
  2. Step 2: Convert to fraction form
    1,366.76/1,886 = 777.26/x
  3. Step 3: Cross multiply
    1,366.76x = 1,886 × 777.26
  4. Step 4: Simplify right side
    1,366.76x = 1,465,912.36
  5. Step 5: Solve for x
    x = 1,465,912.36/1,366.76
  6. Step 6: Final answer
    x = 1,072.55

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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.