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Finding the Fourth Proportional to 1,254.25, 1,880.03 and 559.96

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Solution

The fourth proportional to 1,254.25, 1,880.03 and 559.96 is: 839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.25 : 1,880.03 = 559.96 : x
  2. Step 2: Convert to fraction form
    1,254.25/1,880.03 = 559.96/x
  3. Step 3: Cross multiply
    1,254.25x = 1,880.03 × 559.96
  4. Step 4: Simplify right side
    1,254.25x = 1,052,745.72
  5. Step 5: Solve for x
    x = 1,052,745.72/1,254.25
  6. Step 6: Final answer
    x = 839.34

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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.