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Finding the Fourth Proportional to 755.20, 1,039.51 and 675.24

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Solution

The fourth proportional to 755.20, 1,039.51 and 675.24 is: 929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.20 : 1,039.51 = 675.24 : x
  2. Step 2: Convert to fraction form
    755.20/1,039.51 = 675.24/x
  3. Step 3: Cross multiply
    755.20x = 1,039.51 × 675.24
  4. Step 4: Simplify right side
    755.20x = 701,913.78
  5. Step 5: Solve for x
    x = 701,913.78/755.20
  6. Step 6: Final answer
    x = 929.44

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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.