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Finding the Fourth Proportional to 1,774.92, 2,449.44 and 988.96

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Solution

The fourth proportional to 1,774.92, 2,449.44 and 988.96 is: 1,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.92 : 2,449.44 = 988.96 : x
  2. Step 2: Convert to fraction form
    1,774.92/2,449.44 = 988.96/x
  3. Step 3: Cross multiply
    1,774.92x = 2,449.44 × 988.96
  4. Step 4: Simplify right side
    1,774.92x = 2,422,398.18
  5. Step 5: Solve for x
    x = 2,422,398.18/1,774.92
  6. Step 6: Final answer
    x = 1,364.79

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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.