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Finding the Fourth Proportional to 755.06, 1,041.09 and 644.18

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Solution

The fourth proportional to 755.06, 1,041.09 and 644.18 is: 888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.06 : 1,041.09 = 644.18 : x
  2. Step 2: Convert to fraction form
    755.06/1,041.09 = 644.18/x
  3. Step 3: Cross multiply
    755.06x = 1,041.09 × 644.18
  4. Step 4: Simplify right side
    755.06x = 670,649.36
  5. Step 5: Solve for x
    x = 670,649.36/755.06
  6. Step 6: Final answer
    x = 888.21

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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.