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Finding the Fourth Proportional to 1,952.50, 2,929.16 and 798.25

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Solution

The fourth proportional to 1,952.50, 2,929.16 and 798.25 is: 1,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.50 : 2,929.16 = 798.25 : x
  2. Step 2: Convert to fraction form
    1,952.50/2,929.16 = 798.25/x
  3. Step 3: Cross multiply
    1,952.50x = 2,929.16 × 798.25
  4. Step 4: Simplify right side
    1,952.50x = 2,338,197.98
  5. Step 5: Solve for x
    x = 2,338,197.98/1,952.50
  6. Step 6: Final answer
    x = 1,197.54

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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.