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Finding the Fourth Proportional to 880.44, 1,320.76 and 333.02

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Solution

The fourth proportional to 880.44, 1,320.76 and 333.02 is: 499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.44 : 1,320.76 = 333.02 : x
  2. Step 2: Convert to fraction form
    880.44/1,320.76 = 333.02/x
  3. Step 3: Cross multiply
    880.44x = 1,320.76 × 333.02
  4. Step 4: Simplify right side
    880.44x = 439,839.50
  5. Step 5: Solve for x
    x = 439,839.50/880.44
  6. Step 6: Final answer
    x = 499.57

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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.