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Finding the Fourth Proportional to 677.76, 1,016.84 and 215.56

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Solution

The fourth proportional to 677.76, 1,016.84 and 215.56 is: 323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 1,016.84 = 215.56 : x
  2. Step 2: Convert to fraction form
    677.76/1,016.84 = 215.56/x
  3. Step 3: Cross multiply
    677.76x = 1,016.84 × 215.56
  4. Step 4: Simplify right side
    677.76x = 219,190.03
  5. Step 5: Solve for x
    x = 219,190.03/677.76
  6. Step 6: Final answer
    x = 323.40

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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.