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Finding the Fourth Proportional to 611.24, 842.82 and 445.16

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Solution

The fourth proportional to 611.24, 842.82 and 445.16 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.24 : 842.82 = 445.16 : x
  2. Step 2: Convert to fraction form
    611.24/842.82 = 445.16/x
  3. Step 3: Cross multiply
    611.24x = 842.82 × 445.16
  4. Step 4: Simplify right side
    611.24x = 375,189.75
  5. Step 5: Solve for x
    x = 375,189.75/611.24
  6. Step 6: Final answer
    x = 613.82

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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.