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Finding the Fourth Proportional to 880.12, 1,214.49 and 487.05

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Solution

The fourth proportional to 880.12, 1,214.49 and 487.05 is: 672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.12 : 1,214.49 = 487.05 : x
  2. Step 2: Convert to fraction form
    880.12/1,214.49 = 487.05/x
  3. Step 3: Cross multiply
    880.12x = 1,214.49 × 487.05
  4. Step 4: Simplify right side
    880.12x = 591,517.35
  5. Step 5: Solve for x
    x = 591,517.35/880.12
  6. Step 6: Final answer
    x = 672.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.