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Finding the Fourth Proportional to 1,457.69, 2,186.61 and 727.02

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Solution

The fourth proportional to 1,457.69, 2,186.61 and 727.02 is: 1,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.69 : 2,186.61 = 727.02 : x
  2. Step 2: Convert to fraction form
    1,457.69/2,186.61 = 727.02/x
  3. Step 3: Cross multiply
    1,457.69x = 2,186.61 × 727.02
  4. Step 4: Simplify right side
    1,457.69x = 1,589,709.20
  5. Step 5: Solve for x
    x = 1,589,709.20/1,457.69
  6. Step 6: Final answer
    x = 1,090.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.