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Finding the Fourth Proportional to 1,273.42, 1,756.74 and 795.18

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Solution

The fourth proportional to 1,273.42, 1,756.74 and 795.18 is: 1,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.42 : 1,756.74 = 795.18 : x
  2. Step 2: Convert to fraction form
    1,273.42/1,756.74 = 795.18/x
  3. Step 3: Cross multiply
    1,273.42x = 1,756.74 × 795.18
  4. Step 4: Simplify right side
    1,273.42x = 1,396,924.51
  5. Step 5: Solve for x
    x = 1,396,924.51/1,273.42
  6. Step 6: Final answer
    x = 1,096.99

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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.