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Finding the Fourth Proportional to 1,514.89, 2,272.90 and 474.97

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Solution

The fourth proportional to 1,514.89, 2,272.90 and 474.97 is: 712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.89 : 2,272.90 = 474.97 : x
  2. Step 2: Convert to fraction form
    1,514.89/2,272.90 = 474.97/x
  3. Step 3: Cross multiply
    1,514.89x = 2,272.90 × 474.97
  4. Step 4: Simplify right side
    1,514.89x = 1,079,559.31
  5. Step 5: Solve for x
    x = 1,079,559.31/1,514.89
  6. Step 6: Final answer
    x = 712.63

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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.