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Finding the Fourth Proportional to 1,512.69, 2,268.60 and 538.66

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Solution

The fourth proportional to 1,512.69, 2,268.60 and 538.66 is: 807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.69 : 2,268.60 = 538.66 : x
  2. Step 2: Convert to fraction form
    1,512.69/2,268.60 = 538.66/x
  3. Step 3: Cross multiply
    1,512.69x = 2,268.60 × 538.66
  4. Step 4: Simplify right side
    1,512.69x = 1,222,004.08
  5. Step 5: Solve for x
    x = 1,222,004.08/1,512.69
  6. Step 6: Final answer
    x = 807.84

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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.