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Finding the Fourth Proportional to 1,518.73, 2,278.09 and 544.90

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Solution

The fourth proportional to 1,518.73, 2,278.09 and 544.90 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.73 : 2,278.09 = 544.90 : x
  2. Step 2: Convert to fraction form
    1,518.73/2,278.09 = 544.90/x
  3. Step 3: Cross multiply
    1,518.73x = 2,278.09 × 544.90
  4. Step 4: Simplify right side
    1,518.73x = 1,241,331.24
  5. Step 5: Solve for x
    x = 1,241,331.24/1,518.73
  6. Step 6: Final answer
    x = 817.35

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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.