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Finding the Fourth Proportional to 611.78, 917.64 and 216.43

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Solution

The fourth proportional to 611.78, 917.64 and 216.43 is: 324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.78 : 917.64 = 216.43 : x
  2. Step 2: Convert to fraction form
    611.78/917.64 = 216.43/x
  3. Step 3: Cross multiply
    611.78x = 917.64 × 216.43
  4. Step 4: Simplify right side
    611.78x = 198,605.16
  5. Step 5: Solve for x
    x = 198,605.16/611.78
  6. Step 6: Final answer
    x = 324.64

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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.