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Finding the Fourth Proportional to 880.83, 1,213.65 and 659.43

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Solution

The fourth proportional to 880.83, 1,213.65 and 659.43 is: 908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.83 : 1,213.65 = 659.43 : x
  2. Step 2: Convert to fraction form
    880.83/1,213.65 = 659.43/x
  3. Step 3: Cross multiply
    880.83x = 1,213.65 × 659.43
  4. Step 4: Simplify right side
    880.83x = 800,317.22
  5. Step 5: Solve for x
    x = 800,317.22/880.83
  6. Step 6: Final answer
    x = 908.59

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1.5x scale

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.