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Finding the Fourth Proportional to 1,483.87, 2,226.72 and 753.97

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Solution

The fourth proportional to 1,483.87, 2,226.72 and 753.97 is: 1,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.87 : 2,226.72 = 753.97 : x
  2. Step 2: Convert to fraction form
    1,483.87/2,226.72 = 753.97/x
  3. Step 3: Cross multiply
    1,483.87x = 2,226.72 × 753.97
  4. Step 4: Simplify right side
    1,483.87x = 1,678,880.08
  5. Step 5: Solve for x
    x = 1,678,880.08/1,483.87
  6. Step 6: Final answer
    x = 1,131.42

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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.