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Finding the Fourth Proportional to 2,702.69, 4,054.03 and 650.69

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Solution

The fourth proportional to 2,702.69, 4,054.03 and 650.69 is: 976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.69 : 4,054.03 = 650.69 : x
  2. Step 2: Convert to fraction form
    2,702.69/4,054.03 = 650.69/x
  3. Step 3: Cross multiply
    2,702.69x = 4,054.03 × 650.69
  4. Step 4: Simplify right side
    2,702.69x = 2,637,916.78
  5. Step 5: Solve for x
    x = 2,637,916.78/2,702.69
  6. Step 6: Final answer
    x = 976.03

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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.