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Finding the Fourth Proportional to 1,026.75, 1,538.22 and 538.32

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Solution

The fourth proportional to 1,026.75, 1,538.22 and 538.32 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.75 : 1,538.22 = 538.32 : x
  2. Step 2: Convert to fraction form
    1,026.75/1,538.22 = 538.32/x
  3. Step 3: Cross multiply
    1,026.75x = 1,538.22 × 538.32
  4. Step 4: Simplify right side
    1,026.75x = 828,054.59
  5. Step 5: Solve for x
    x = 828,054.59/1,026.75
  6. Step 6: Final answer
    x = 806.48

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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.