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Finding the Fourth Proportional to 677.61, 1,016.39 and 215.37

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Solution

The fourth proportional to 677.61, 1,016.39 and 215.37 is: 323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.61 : 1,016.39 = 215.37 : x
  2. Step 2: Convert to fraction form
    677.61/1,016.39 = 215.37/x
  3. Step 3: Cross multiply
    677.61x = 1,016.39 × 215.37
  4. Step 4: Simplify right side
    677.61x = 218,898.84
  5. Step 5: Solve for x
    x = 218,898.84/677.61
  6. Step 6: Final answer
    x = 323.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.