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Finding the Fourth Proportional to 611.68, 917.63 and 246.27

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Solution

The fourth proportional to 611.68, 917.63 and 246.27 is: 369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.68 : 917.63 = 246.27 : x
  2. Step 2: Convert to fraction form
    611.68/917.63 = 246.27/x
  3. Step 3: Cross multiply
    611.68x = 917.63 × 246.27
  4. Step 4: Simplify right side
    611.68x = 225,980.13
  5. Step 5: Solve for x
    x = 225,980.13/611.68
  6. Step 6: Final answer
    x = 369.44

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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.