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Finding the Fourth Proportional to 1,514.56, 2,272.84 and 540.64

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Solution

The fourth proportional to 1,514.56, 2,272.84 and 540.64 is: 811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.56 : 2,272.84 = 540.64 : x
  2. Step 2: Convert to fraction form
    1,514.56/2,272.84 = 540.64/x
  3. Step 3: Cross multiply
    1,514.56x = 2,272.84 × 540.64
  4. Step 4: Simplify right side
    1,514.56x = 1,228,788.22
  5. Step 5: Solve for x
    x = 1,228,788.22/1,514.56
  6. Step 6: Final answer
    x = 811.32

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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.