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Finding the Fourth Proportional to 829.80, 1,144.91 and 614.30

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Solution

The fourth proportional to 829.80, 1,144.91 and 614.30 is: 847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.80 : 1,144.91 = 614.30 : x
  2. Step 2: Convert to fraction form
    829.80/1,144.91 = 614.30/x
  3. Step 3: Cross multiply
    829.80x = 1,144.91 × 614.30
  4. Step 4: Simplify right side
    829.80x = 703,309.42
  5. Step 5: Solve for x
    x = 703,309.42/829.80
  6. Step 6: Final answer
    x = 847.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.