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Finding the Fourth Proportional to 755.09, 1,039.22 and 533.66

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Solution

The fourth proportional to 755.09, 1,039.22 and 533.66 is: 734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.09 : 1,039.22 = 533.66 : x
  2. Step 2: Convert to fraction form
    755.09/1,039.22 = 533.66/x
  3. Step 3: Cross multiply
    755.09x = 1,039.22 × 533.66
  4. Step 4: Simplify right side
    755.09x = 554,582.28
  5. Step 5: Solve for x
    x = 554,582.28/755.09
  6. Step 6: Final answer
    x = 734.46

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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.