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Finding the Fourth Proportional to 1,693.71, 2,540.57 and 768.76

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Solution

The fourth proportional to 1,693.71, 2,540.57 and 768.76 is: 1,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.71 : 2,540.57 = 768.76 : x
  2. Step 2: Convert to fraction form
    1,693.71/2,540.57 = 768.76/x
  3. Step 3: Cross multiply
    1,693.71x = 2,540.57 × 768.76
  4. Step 4: Simplify right side
    1,693.71x = 1,953,078.40
  5. Step 5: Solve for x
    x = 1,953,078.40/1,693.71
  6. Step 6: Final answer
    x = 1,153.14

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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.