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Finding the Fourth Proportional to 1,366.66, 1,885.80 and 777.16

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Solution

The fourth proportional to 1,366.66, 1,885.80 and 777.16 is: 1,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.66 : 1,885.80 = 777.16 : x
  2. Step 2: Convert to fraction form
    1,366.66/1,885.80 = 777.16/x
  3. Step 3: Cross multiply
    1,366.66x = 1,885.80 × 777.16
  4. Step 4: Simplify right side
    1,366.66x = 1,465,568.33
  5. Step 5: Solve for x
    x = 1,465,568.33/1,366.66
  6. Step 6: Final answer
    x = 1,072.37

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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.