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Finding the Fourth Proportional to 2,650.30, 3,975.49 and 702.55

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Solution

The fourth proportional to 2,650.30, 3,975.49 and 702.55 is: 1,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.30 : 3,975.49 = 702.55 : x
  2. Step 2: Convert to fraction form
    2,650.30/3,975.49 = 702.55/x
  3. Step 3: Cross multiply
    2,650.30x = 3,975.49 × 702.55
  4. Step 4: Simplify right side
    2,650.30x = 2,792,980.50
  5. Step 5: Solve for x
    x = 2,792,980.50/2,650.30
  6. Step 6: Final answer
    x = 1,053.84

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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.