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Finding the Fourth Proportional to 880.04, 1,321.86 and 673.86

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Solution

The fourth proportional to 880.04, 1,321.86 and 673.86 is: 1,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.04 : 1,321.86 = 673.86 : x
  2. Step 2: Convert to fraction form
    880.04/1,321.86 = 673.86/x
  3. Step 3: Cross multiply
    880.04x = 1,321.86 × 673.86
  4. Step 4: Simplify right side
    880.04x = 890,748.58
  5. Step 5: Solve for x
    x = 890,748.58/880.04
  6. Step 6: Final answer
    x = 1,012.17

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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.