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Finding the Fourth Proportional to 819.99, 1,130.73 and 755.90

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Solution

The fourth proportional to 819.99, 1,130.73 and 755.90 is: 1,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.99 : 1,130.73 = 755.90 : x
  2. Step 2: Convert to fraction form
    819.99/1,130.73 = 755.90/x
  3. Step 3: Cross multiply
    819.99x = 1,130.73 × 755.90
  4. Step 4: Simplify right side
    819.99x = 854,713.15
  5. Step 5: Solve for x
    x = 854,713.15/819.99
  6. Step 6: Final answer
    x = 1,042.35

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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.