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Finding the Fourth Proportional to 1,118.45, 1,546.43 and 980.07

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Solution

The fourth proportional to 1,118.45, 1,546.43 and 980.07 is: 1,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.45 : 1,546.43 = 980.07 : x
  2. Step 2: Convert to fraction form
    1,118.45/1,546.43 = 980.07/x
  3. Step 3: Cross multiply
    1,118.45x = 1,546.43 × 980.07
  4. Step 4: Simplify right side
    1,118.45x = 1,515,604.75
  5. Step 5: Solve for x
    x = 1,515,604.75/1,118.45
  6. Step 6: Final answer
    x = 1,355.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.