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Finding the Fourth Proportional to 1,815.78, 2,724.03 and 720.16

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Solution

The fourth proportional to 1,815.78, 2,724.03 and 720.16 is: 1,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.78 : 2,724.03 = 720.16 : x
  2. Step 2: Convert to fraction form
    1,815.78/2,724.03 = 720.16/x
  3. Step 3: Cross multiply
    1,815.78x = 2,724.03 × 720.16
  4. Step 4: Simplify right side
    1,815.78x = 1,961,730.63
  5. Step 5: Solve for x
    x = 1,961,730.63/1,815.78
  6. Step 6: Final answer
    x = 1,080.38

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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.