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Finding the Fourth Proportional to 611.81, 918.27 and 381.15

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Solution

The fourth proportional to 611.81, 918.27 and 381.15 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.81 : 918.27 = 381.15 : x
  2. Step 2: Convert to fraction form
    611.81/918.27 = 381.15/x
  3. Step 3: Cross multiply
    611.81x = 918.27 × 381.15
  4. Step 4: Simplify right side
    611.81x = 349,996.70
  5. Step 5: Solve for x
    x = 349,996.70/611.81
  6. Step 6: Final answer
    x = 572.07

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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.