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Finding the Fourth Proportional to 1,310.88, 1,809.03 and 743.68

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Solution

The fourth proportional to 1,310.88, 1,809.03 and 743.68 is: 1,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.88 : 1,809.03 = 743.68 : x
  2. Step 2: Convert to fraction form
    1,310.88/1,809.03 = 743.68/x
  3. Step 3: Cross multiply
    1,310.88x = 1,809.03 × 743.68
  4. Step 4: Simplify right side
    1,310.88x = 1,345,344.48
  5. Step 5: Solve for x
    x = 1,345,344.48/1,310.88
  6. Step 6: Final answer
    x = 1,026.29

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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.