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Finding the Fourth Proportional to 2,216.86, 3,324.79 and 656.98

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Solution

The fourth proportional to 2,216.86, 3,324.79 and 656.98 is: 985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.86 : 3,324.79 = 656.98 : x
  2. Step 2: Convert to fraction form
    2,216.86/3,324.79 = 656.98/x
  3. Step 3: Cross multiply
    2,216.86x = 3,324.79 × 656.98
  4. Step 4: Simplify right side
    2,216.86x = 2,184,320.53
  5. Step 5: Solve for x
    x = 2,184,320.53/2,216.86
  6. Step 6: Final answer
    x = 985.32

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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.