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Finding the Fourth Proportional to 961.71, 1,441.26 and 590.34

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Solution

The fourth proportional to 961.71, 1,441.26 and 590.34 is: 884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.71 : 1,441.26 = 590.34 : x
  2. Step 2: Convert to fraction form
    961.71/1,441.26 = 590.34/x
  3. Step 3: Cross multiply
    961.71x = 1,441.26 × 590.34
  4. Step 4: Simplify right side
    961.71x = 850,833.43
  5. Step 5: Solve for x
    x = 850,833.43/961.71
  6. Step 6: Final answer
    x = 884.71

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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.