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Finding the Fourth Proportional to 1,277.92, 1,917.12 and 661.28

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Solution

The fourth proportional to 1,277.92, 1,917.12 and 661.28 is: 992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.92 : 1,917.12 = 661.28 : x
  2. Step 2: Convert to fraction form
    1,277.92/1,917.12 = 661.28/x
  3. Step 3: Cross multiply
    1,277.92x = 1,917.12 × 661.28
  4. Step 4: Simplify right side
    1,277.92x = 1,267,753.11
  5. Step 5: Solve for x
    x = 1,267,753.11/1,277.92
  6. Step 6: Final answer
    x = 992.04

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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.