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Finding the Fourth Proportional to 1,010.75, 1,514.37 and 548.85

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Solution

The fourth proportional to 1,010.75, 1,514.37 and 548.85 is: 822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.75 : 1,514.37 = 548.85 : x
  2. Step 2: Convert to fraction form
    1,010.75/1,514.37 = 548.85/x
  3. Step 3: Cross multiply
    1,010.75x = 1,514.37 × 548.85
  4. Step 4: Simplify right side
    1,010.75x = 831,161.97
  5. Step 5: Solve for x
    x = 831,161.97/1,010.75
  6. Step 6: Final answer
    x = 822.32

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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.