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Finding the Fourth Proportional to 755.77, 1,043.46 and 616.23

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Solution

The fourth proportional to 755.77, 1,043.46 and 616.23 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.77 : 1,043.46 = 616.23 : x
  2. Step 2: Convert to fraction form
    755.77/1,043.46 = 616.23/x
  3. Step 3: Cross multiply
    755.77x = 1,043.46 × 616.23
  4. Step 4: Simplify right side
    755.77x = 643,011.36
  5. Step 5: Solve for x
    x = 643,011.36/755.77
  6. Step 6: Final answer
    x = 850.80

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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.