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Finding the Fourth Proportional to 1,099.50, 1,649.52 and 330

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Solution

The fourth proportional to 1,099.50, 1,649.52 and 330 is: 495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.50 : 1,649.52 = 330 : x
  2. Step 2: Convert to fraction form
    1,099.50/1,649.52 = 330/x
  3. Step 3: Cross multiply
    1,099.50x = 1,649.52 × 330
  4. Step 4: Simplify right side
    1,099.50x = 544,341.60
  5. Step 5: Solve for x
    x = 544,341.60/1,099.50
  6. Step 6: Final answer
    x = 495.08

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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.