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Finding the Fourth Proportional to 961.13, 1,441.94 and 277.13

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Solution

The fourth proportional to 961.13, 1,441.94 and 277.13 is: 415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.13 : 1,441.94 = 277.13 : x
  2. Step 2: Convert to fraction form
    961.13/1,441.94 = 277.13/x
  3. Step 3: Cross multiply
    961.13x = 1,441.94 × 277.13
  4. Step 4: Simplify right side
    961.13x = 399,596.24
  5. Step 5: Solve for x
    x = 399,596.24/961.13
  6. Step 6: Final answer
    x = 415.76

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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.