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Finding the Fourth Proportional to 2,295.75, 3,442.22 and 978.76

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Solution

The fourth proportional to 2,295.75, 3,442.22 and 978.76 is: 1,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.75 : 3,442.22 = 978.76 : x
  2. Step 2: Convert to fraction form
    2,295.75/3,442.22 = 978.76/x
  3. Step 3: Cross multiply
    2,295.75x = 3,442.22 × 978.76
  4. Step 4: Simplify right side
    2,295.75x = 3,369,118.30
  5. Step 5: Solve for x
    x = 3,369,118.30/2,295.75
  6. Step 6: Final answer
    x = 1,467.55

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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.