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Finding the Fourth Proportional to 1,693.50, 2,540.10 and 461.04

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Solution

The fourth proportional to 1,693.50, 2,540.10 and 461.04 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.50 : 2,540.10 = 461.04 : x
  2. Step 2: Convert to fraction form
    1,693.50/2,540.10 = 461.04/x
  3. Step 3: Cross multiply
    1,693.50x = 2,540.10 × 461.04
  4. Step 4: Simplify right side
    1,693.50x = 1,171,087.70
  5. Step 5: Solve for x
    x = 1,171,087.70/1,693.50
  6. Step 6: Final answer
    x = 691.52

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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.