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Finding the Fourth Proportional to 1,997.65, 2,996.41 and 610.93

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Solution

The fourth proportional to 1,997.65, 2,996.41 and 610.93 is: 916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.65 : 2,996.41 = 610.93 : x
  2. Step 2: Convert to fraction form
    1,997.65/2,996.41 = 610.93/x
  3. Step 3: Cross multiply
    1,997.65x = 2,996.41 × 610.93
  4. Step 4: Simplify right side
    1,997.65x = 1,830,596.76
  5. Step 5: Solve for x
    x = 1,830,596.76/1,997.65
  6. Step 6: Final answer
    x = 916.38

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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.