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Finding the Fourth Proportional to 829.91, 1,244.77 and 282.15

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Solution

The fourth proportional to 829.91, 1,244.77 and 282.15 is: 423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.91 : 1,244.77 = 282.15 : x
  2. Step 2: Convert to fraction form
    829.91/1,244.77 = 282.15/x
  3. Step 3: Cross multiply
    829.91x = 1,244.77 × 282.15
  4. Step 4: Simplify right side
    829.91x = 351,211.15
  5. Step 5: Solve for x
    x = 351,211.15/829.91
  6. Step 6: Final answer
    x = 423.19

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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.