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Finding the Fourth Proportional to 1,512.61, 2,268.37 and 538.51

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Solution

The fourth proportional to 1,512.61, 2,268.37 and 538.51 is: 807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.61 : 2,268.37 = 538.51 : x
  2. Step 2: Convert to fraction form
    1,512.61/2,268.37 = 538.51/x
  3. Step 3: Cross multiply
    1,512.61x = 2,268.37 × 538.51
  4. Step 4: Simplify right side
    1,512.61x = 1,221,539.93
  5. Step 5: Solve for x
    x = 1,221,539.93/1,512.61
  6. Step 6: Final answer
    x = 807.57

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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.