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Finding the Fourth Proportional to 880.44, 1,319.22 and 447

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Solution

The fourth proportional to 880.44, 1,319.22 and 447 is: 669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.44 : 1,319.22 = 447 : x
  2. Step 2: Convert to fraction form
    880.44/1,319.22 = 447/x
  3. Step 3: Cross multiply
    880.44x = 1,319.22 × 447
  4. Step 4: Simplify right side
    880.44x = 589,691.34
  5. Step 5: Solve for x
    x = 589,691.34/880.44
  6. Step 6: Final answer
    x = 669.77

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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.