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Finding the Fourth Proportional to 1,105.25, 1,657.87 and 675.95

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Solution

The fourth proportional to 1,105.25, 1,657.87 and 675.95 is: 1,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.25 : 1,657.87 = 675.95 : x
  2. Step 2: Convert to fraction form
    1,105.25/1,657.87 = 675.95/x
  3. Step 3: Cross multiply
    1,105.25x = 1,657.87 × 675.95
  4. Step 4: Simplify right side
    1,105.25x = 1,120,627.25
  5. Step 5: Solve for x
    x = 1,120,627.25/1,105.25
  6. Step 6: Final answer
    x = 1,013.92

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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.