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Finding the Fourth Proportional to 927.22, 1,277.16 and 646.95

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Solution

The fourth proportional to 927.22, 1,277.16 and 646.95 is: 891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.22 : 1,277.16 = 646.95 : x
  2. Step 2: Convert to fraction form
    927.22/1,277.16 = 646.95/x
  3. Step 3: Cross multiply
    927.22x = 1,277.16 × 646.95
  4. Step 4: Simplify right side
    927.22x = 826,258.66
  5. Step 5: Solve for x
    x = 826,258.66/927.22
  6. Step 6: Final answer
    x = 891.12

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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.