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Finding the Fourth Proportional to 1,273.15, 1,756.97 and 775.81

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Solution

The fourth proportional to 1,273.15, 1,756.97 and 775.81 is: 1,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.15 : 1,756.97 = 775.81 : x
  2. Step 2: Convert to fraction form
    1,273.15/1,756.97 = 775.81/x
  3. Step 3: Cross multiply
    1,273.15x = 1,756.97 × 775.81
  4. Step 4: Simplify right side
    1,273.15x = 1,363,074.90
  5. Step 5: Solve for x
    x = 1,363,074.90/1,273.15
  6. Step 6: Final answer
    x = 1,070.63

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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.