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Finding the Fourth Proportional to 1,277.98, 1,917.22 and 661.52

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Solution

The fourth proportional to 1,277.98, 1,917.22 and 661.52 is: 992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.98 : 1,917.22 = 661.52 : x
  2. Step 2: Convert to fraction form
    1,277.98/1,917.22 = 661.52/x
  3. Step 3: Cross multiply
    1,277.98x = 1,917.22 × 661.52
  4. Step 4: Simplify right side
    1,277.98x = 1,268,272.97
  5. Step 5: Solve for x
    x = 1,268,272.97/1,277.98
  6. Step 6: Final answer
    x = 992.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.