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Finding the Fourth Proportional to 611.74, 918.28 and 365.48

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Solution

The fourth proportional to 611.74, 918.28 and 365.48 is: 548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 918.28 = 365.48 : x
  2. Step 2: Convert to fraction form
    611.74/918.28 = 365.48/x
  3. Step 3: Cross multiply
    611.74x = 918.28 × 365.48
  4. Step 4: Simplify right side
    611.74x = 335,612.97
  5. Step 5: Solve for x
    x = 335,612.97/611.74
  6. Step 6: Final answer
    x = 548.62

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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.