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Finding the Fourth Proportional to 2,363.31, 3,544.76 and 720.23

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Solution

The fourth proportional to 2,363.31, 3,544.76 and 720.23 is: 1,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.31 : 3,544.76 = 720.23 : x
  2. Step 2: Convert to fraction form
    2,363.31/3,544.76 = 720.23/x
  3. Step 3: Cross multiply
    2,363.31x = 3,544.76 × 720.23
  4. Step 4: Simplify right side
    2,363.31x = 2,553,026.57
  5. Step 5: Solve for x
    x = 2,553,026.57/2,363.31
  6. Step 6: Final answer
    x = 1,080.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.