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Finding the Fourth Proportional to 1,293.78, 1,785.03 and 769.74

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Solution

The fourth proportional to 1,293.78, 1,785.03 and 769.74 is: 1,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.78 : 1,785.03 = 769.74 : x
  2. Step 2: Convert to fraction form
    1,293.78/1,785.03 = 769.74/x
  3. Step 3: Cross multiply
    1,293.78x = 1,785.03 × 769.74
  4. Step 4: Simplify right side
    1,293.78x = 1,374,008.99
  5. Step 5: Solve for x
    x = 1,374,008.99/1,293.78
  6. Step 6: Final answer
    x = 1,062.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.