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Finding the Fourth Proportional to 880.38, 1,320.48 and 333

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Solution

The fourth proportional to 880.38, 1,320.48 and 333 is: 499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.38 : 1,320.48 = 333 : x
  2. Step 2: Convert to fraction form
    880.38/1,320.48 = 333/x
  3. Step 3: Cross multiply
    880.38x = 1,320.48 × 333
  4. Step 4: Simplify right side
    880.38x = 439,719.84
  5. Step 5: Solve for x
    x = 439,719.84/880.38
  6. Step 6: Final answer
    x = 499.47

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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.