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Finding the Fourth Proportional to 2,483.40, 3,725.10 and 728.46

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Solution

The fourth proportional to 2,483.40, 3,725.10 and 728.46 is: 1,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.40 : 3,725.10 = 728.46 : x
  2. Step 2: Convert to fraction form
    2,483.40/3,725.10 = 728.46/x
  3. Step 3: Cross multiply
    2,483.40x = 3,725.10 × 728.46
  4. Step 4: Simplify right side
    2,483.40x = 2,713,586.35
  5. Step 5: Solve for x
    x = 2,713,586.35/2,483.40
  6. Step 6: Final answer
    x = 1,092.69

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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.