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Finding the Fourth Proportional to 1,227.76, 1,693.96 and 854.32

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Solution

The fourth proportional to 1,227.76, 1,693.96 and 854.32 is: 1,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.76 : 1,693.96 = 854.32 : x
  2. Step 2: Convert to fraction form
    1,227.76/1,693.96 = 854.32/x
  3. Step 3: Cross multiply
    1,227.76x = 1,693.96 × 854.32
  4. Step 4: Simplify right side
    1,227.76x = 1,447,183.91
  5. Step 5: Solve for x
    x = 1,447,183.91/1,227.76
  6. Step 6: Final answer
    x = 1,178.72

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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.