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Finding the Fourth Proportional to 2,364, 3,545.86 and 720.56

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Solution

The fourth proportional to 2,364, 3,545.86 and 720.56 is: 1,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364 : 3,545.86 = 720.56 : x
  2. Step 2: Convert to fraction form
    2,364/3,545.86 = 720.56/x
  3. Step 3: Cross multiply
    2,364x = 3,545.86 × 720.56
  4. Step 4: Simplify right side
    2,364x = 2,555,004.88
  5. Step 5: Solve for x
    x = 2,555,004.88/2,364
  6. Step 6: Final answer
    x = 1,080.80

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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.