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Finding the Fourth Proportional to 1,290.03, 1,932.73 and 1,014.78

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Solution

The fourth proportional to 1,290.03, 1,932.73 and 1,014.78 is: 1,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.03 : 1,932.73 = 1,014.78 : x
  2. Step 2: Convert to fraction form
    1,290.03/1,932.73 = 1,014.78/x
  3. Step 3: Cross multiply
    1,290.03x = 1,932.73 × 1,014.78
  4. Step 4: Simplify right side
    1,290.03x = 1,961,295.75
  5. Step 5: Solve for x
    x = 1,961,295.75/1,290.03
  6. Step 6: Final answer
    x = 1,520.35

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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.