Home / 1,511.72-2,268.04-731.60

Finding the Fourth Proportional to 1,511.72, 2,268.04 and 731.60

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Solution

The fourth proportional to 1,511.72, 2,268.04 and 731.60 is: 1,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.72 : 2,268.04 = 731.60 : x
  2. Step 2: Convert to fraction form
    1,511.72/2,268.04 = 731.60/x
  3. Step 3: Cross multiply
    1,511.72x = 2,268.04 × 731.60
  4. Step 4: Simplify right side
    1,511.72x = 1,659,298.06
  5. Step 5: Solve for x
    x = 1,659,298.06/1,511.72
  6. Step 6: Final answer
    x = 1,097.62

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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.