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Finding the Fourth Proportional to 1,028.42, 1,540.65 and 636.59

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Solution

The fourth proportional to 1,028.42, 1,540.65 and 636.59 is: 953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.42 : 1,540.65 = 636.59 : x
  2. Step 2: Convert to fraction form
    1,028.42/1,540.65 = 636.59/x
  3. Step 3: Cross multiply
    1,028.42x = 1,540.65 × 636.59
  4. Step 4: Simplify right side
    1,028.42x = 980,754.68
  5. Step 5: Solve for x
    x = 980,754.68/1,028.42
  6. Step 6: Final answer
    x = 953.66

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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.