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Finding the Fourth Proportional to 1,483.75, 2,226.01 and 559.31

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Solution

The fourth proportional to 1,483.75, 2,226.01 and 559.31 is: 839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.75 : 2,226.01 = 559.31 : x
  2. Step 2: Convert to fraction form
    1,483.75/2,226.01 = 559.31/x
  3. Step 3: Cross multiply
    1,483.75x = 2,226.01 × 559.31
  4. Step 4: Simplify right side
    1,483.75x = 1,245,029.65
  5. Step 5: Solve for x
    x = 1,245,029.65/1,483.75
  6. Step 6: Final answer
    x = 839.11

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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.