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Finding the Fourth Proportional to 1,276.07, 1,760.93 and 716.60

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Solution

The fourth proportional to 1,276.07, 1,760.93 and 716.60 is: 988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.07 : 1,760.93 = 716.60 : x
  2. Step 2: Convert to fraction form
    1,276.07/1,760.93 = 716.60/x
  3. Step 3: Cross multiply
    1,276.07x = 1,760.93 × 716.60
  4. Step 4: Simplify right side
    1,276.07x = 1,261,873.63
  5. Step 5: Solve for x
    x = 1,261,873.63/1,276.07
  6. Step 6: Final answer
    x = 988.88

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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.