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Finding the Fourth Proportional to 1,096.31, 1,644.40 and 365.69

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Solution

The fourth proportional to 1,096.31, 1,644.40 and 365.69 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.31 : 1,644.40 = 365.69 : x
  2. Step 2: Convert to fraction form
    1,096.31/1,644.40 = 365.69/x
  3. Step 3: Cross multiply
    1,096.31x = 1,644.40 × 365.69
  4. Step 4: Simplify right side
    1,096.31x = 601,340.64
  5. Step 5: Solve for x
    x = 601,340.64/1,096.31
  6. Step 6: Final answer
    x = 548.51

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Half scale
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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.