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Finding the Fourth Proportional to 961.01, 1,441.06 and 550.04

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Solution

The fourth proportional to 961.01, 1,441.06 and 550.04 is: 824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.01 : 1,441.06 = 550.04 : x
  2. Step 2: Convert to fraction form
    961.01/1,441.06 = 550.04/x
  3. Step 3: Cross multiply
    961.01x = 1,441.06 × 550.04
  4. Step 4: Simplify right side
    961.01x = 792,632.06
  5. Step 5: Solve for x
    x = 792,632.06/961.01
  6. Step 6: Final answer
    x = 824.79

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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.