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Finding the Fourth Proportional to 1,095.91, 1,644.14 and 365.49

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Solution

The fourth proportional to 1,095.91, 1,644.14 and 365.49 is: 548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.91 : 1,644.14 = 365.49 : x
  2. Step 2: Convert to fraction form
    1,095.91/1,644.14 = 365.49/x
  3. Step 3: Cross multiply
    1,095.91x = 1,644.14 × 365.49
  4. Step 4: Simplify right side
    1,095.91x = 600,917.64
  5. Step 5: Solve for x
    x = 600,917.64/1,095.91
  6. Step 6: Final answer
    x = 548.33

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Double scale
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1.5x scale

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.