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Finding the Fourth Proportional to 851.43, 1,175.18 and 540.75

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Solution

The fourth proportional to 851.43, 1,175.18 and 540.75 is: 746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.43 : 1,175.18 = 540.75 : x
  2. Step 2: Convert to fraction form
    851.43/1,175.18 = 540.75/x
  3. Step 3: Cross multiply
    851.43x = 1,175.18 × 540.75
  4. Step 4: Simplify right side
    851.43x = 635,478.59
  5. Step 5: Solve for x
    x = 635,478.59/851.43
  6. Step 6: Final answer
    x = 746.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.