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Finding the Fourth Proportional to 755.74, 1,043.31 and 646.39

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Solution

The fourth proportional to 755.74, 1,043.31 and 646.39 is: 892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.74 : 1,043.31 = 646.39 : x
  2. Step 2: Convert to fraction form
    755.74/1,043.31 = 646.39/x
  3. Step 3: Cross multiply
    755.74x = 1,043.31 × 646.39
  4. Step 4: Simplify right side
    755.74x = 674,385.15
  5. Step 5: Solve for x
    x = 674,385.15/755.74
  6. Step 6: Final answer
    x = 892.35

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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.