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Finding the Fourth Proportional to 1,514.79, 2,272.14 and 540.81

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Solution

The fourth proportional to 1,514.79, 2,272.14 and 540.81 is: 811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.79 : 2,272.14 = 540.81 : x
  2. Step 2: Convert to fraction form
    1,514.79/2,272.14 = 540.81/x
  3. Step 3: Cross multiply
    1,514.79x = 2,272.14 × 540.81
  4. Step 4: Simplify right side
    1,514.79x = 1,228,796.03
  5. Step 5: Solve for x
    x = 1,228,796.03/1,514.79
  6. Step 6: Final answer
    x = 811.20

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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.