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Finding the Fourth Proportional to 927.05, 1,277.28 and 611.76

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Solution

The fourth proportional to 927.05, 1,277.28 and 611.76 is: 842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.05 : 1,277.28 = 611.76 : x
  2. Step 2: Convert to fraction form
    927.05/1,277.28 = 611.76/x
  3. Step 3: Cross multiply
    927.05x = 1,277.28 × 611.76
  4. Step 4: Simplify right side
    927.05x = 781,388.81
  5. Step 5: Solve for x
    x = 781,388.81/927.05
  6. Step 6: Final answer
    x = 842.88

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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.