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Finding the Fourth Proportional to 1,293.90, 1,785.72 and 769.93

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Solution

The fourth proportional to 1,293.90, 1,785.72 and 769.93 is: 1,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.90 : 1,785.72 = 769.93 : x
  2. Step 2: Convert to fraction form
    1,293.90/1,785.72 = 769.93/x
  3. Step 3: Cross multiply
    1,293.90x = 1,785.72 × 769.93
  4. Step 4: Simplify right side
    1,293.90x = 1,374,877.82
  5. Step 5: Solve for x
    x = 1,374,877.82/1,293.90
  6. Step 6: Final answer
    x = 1,062.59

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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.