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Finding the Fourth Proportional to 1,293.42, 1,783.96 and 795.87

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Solution

The fourth proportional to 1,293.42, 1,783.96 and 795.87 is: 1,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.42 : 1,783.96 = 795.87 : x
  2. Step 2: Convert to fraction form
    1,293.42/1,783.96 = 795.87/x
  3. Step 3: Cross multiply
    1,293.42x = 1,783.96 × 795.87
  4. Step 4: Simplify right side
    1,293.42x = 1,419,804.71
  5. Step 5: Solve for x
    x = 1,419,804.71/1,293.42
  6. Step 6: Final answer
    x = 1,097.72

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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.