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Finding the Fourth Proportional to 961.90, 1,441.58 and 441.81

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Solution

The fourth proportional to 961.90, 1,441.58 and 441.81 is: 662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.90 : 1,441.58 = 441.81 : x
  2. Step 2: Convert to fraction form
    961.90/1,441.58 = 441.81/x
  3. Step 3: Cross multiply
    961.90x = 1,441.58 × 441.81
  4. Step 4: Simplify right side
    961.90x = 636,904.46
  5. Step 5: Solve for x
    x = 636,904.46/961.90
  6. Step 6: Final answer
    x = 662.13

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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.