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Finding the Fourth Proportional to 829.88, 1,245.14 and 282.20

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Solution

The fourth proportional to 829.88, 1,245.14 and 282.20 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.88 : 1,245.14 = 282.20 : x
  2. Step 2: Convert to fraction form
    829.88/1,245.14 = 282.20/x
  3. Step 3: Cross multiply
    829.88x = 1,245.14 × 282.20
  4. Step 4: Simplify right side
    829.88x = 351,378.51
  5. Step 5: Solve for x
    x = 351,378.51/829.88
  6. Step 6: Final answer
    x = 423.41

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1.5x scale

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.