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Finding the Fourth Proportional to 961.79, 1,441.67 and 499.12

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Solution

The fourth proportional to 961.79, 1,441.67 and 499.12 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.79 : 1,441.67 = 499.12 : x
  2. Step 2: Convert to fraction form
    961.79/1,441.67 = 499.12/x
  3. Step 3: Cross multiply
    961.79x = 1,441.67 × 499.12
  4. Step 4: Simplify right side
    961.79x = 719,560.23
  5. Step 5: Solve for x
    x = 719,560.23/961.79
  6. Step 6: Final answer
    x = 748.15

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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.