Home / 1,276.56-1,762.65-923.22

Finding the Fourth Proportional to 1,276.56, 1,762.65 and 923.22

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Solution

The fourth proportional to 1,276.56, 1,762.65 and 923.22 is: 1,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.56 : 1,762.65 = 923.22 : x
  2. Step 2: Convert to fraction form
    1,276.56/1,762.65 = 923.22/x
  3. Step 3: Cross multiply
    1,276.56x = 1,762.65 × 923.22
  4. Step 4: Simplify right side
    1,276.56x = 1,627,313.73
  5. Step 5: Solve for x
    x = 1,627,313.73/1,276.56
  6. Step 6: Final answer
    x = 1,274.76

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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.