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Finding the Fourth Proportional to 1,099.02, 1,648.26 and 329.52

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Solution

The fourth proportional to 1,099.02, 1,648.26 and 329.52 is: 494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.02 : 1,648.26 = 329.52 : x
  2. Step 2: Convert to fraction form
    1,099.02/1,648.26 = 329.52/x
  3. Step 3: Cross multiply
    1,099.02x = 1,648.26 × 329.52
  4. Step 4: Simplify right side
    1,099.02x = 543,134.64
  5. Step 5: Solve for x
    x = 543,134.64/1,099.02
  6. Step 6: Final answer
    x = 494.20

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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.