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Finding the Fourth Proportional to 1,366.63, 1,886.12 and 777.31

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Solution

The fourth proportional to 1,366.63, 1,886.12 and 777.31 is: 1,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.63 : 1,886.12 = 777.31 : x
  2. Step 2: Convert to fraction form
    1,366.63/1,886.12 = 777.31/x
  3. Step 3: Cross multiply
    1,366.63x = 1,886.12 × 777.31
  4. Step 4: Simplify right side
    1,366.63x = 1,466,099.94
  5. Step 5: Solve for x
    x = 1,466,099.94/1,366.63
  6. Step 6: Final answer
    x = 1,072.78

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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.