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Finding the Fourth Proportional to 1,080.65, 1,615.24 and 940.75

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Solution

The fourth proportional to 1,080.65, 1,615.24 and 940.75 is: 1,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.65 : 1,615.24 = 940.75 : x
  2. Step 2: Convert to fraction form
    1,080.65/1,615.24 = 940.75/x
  3. Step 3: Cross multiply
    1,080.65x = 1,615.24 × 940.75
  4. Step 4: Simplify right side
    1,080.65x = 1,519,537.03
  5. Step 5: Solve for x
    x = 1,519,537.03/1,080.65
  6. Step 6: Final answer
    x = 1,406.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.