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Finding the Fourth Proportional to 755.76, 1,135.56 and 704.80

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Solution

The fourth proportional to 755.76, 1,135.56 and 704.80 is: 1,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,135.56 = 704.80 : x
  2. Step 2: Convert to fraction form
    755.76/1,135.56 = 704.80/x
  3. Step 3: Cross multiply
    755.76x = 1,135.56 × 704.80
  4. Step 4: Simplify right side
    755.76x = 800,342.69
  5. Step 5: Solve for x
    x = 800,342.69/755.76
  6. Step 6: Final answer
    x = 1,058.99

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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.