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Finding the Fourth Proportional to 755.16, 1,039.89 and 644.58

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Solution

The fourth proportional to 755.16, 1,039.89 and 644.58 is: 887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.16 : 1,039.89 = 644.58 : x
  2. Step 2: Convert to fraction form
    755.16/1,039.89 = 644.58/x
  3. Step 3: Cross multiply
    755.16x = 1,039.89 × 644.58
  4. Step 4: Simplify right side
    755.16x = 670,292.30
  5. Step 5: Solve for x
    x = 670,292.30/755.16
  6. Step 6: Final answer
    x = 887.62

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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.