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Finding the Fourth Proportional to 1,131.43, 1,562.09 and 777.94

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Solution

The fourth proportional to 1,131.43, 1,562.09 and 777.94 is: 1,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.43 : 1,562.09 = 777.94 : x
  2. Step 2: Convert to fraction form
    1,131.43/1,562.09 = 777.94/x
  3. Step 3: Cross multiply
    1,131.43x = 1,562.09 × 777.94
  4. Step 4: Simplify right side
    1,131.43x = 1,215,212.29
  5. Step 5: Solve for x
    x = 1,215,212.29/1,131.43
  6. Step 6: Final answer
    x = 1,074.05

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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.