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Finding the Fourth Proportional to 820.20, 1,230.84 and 357.84

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Solution

The fourth proportional to 820.20, 1,230.84 and 357.84 is: 537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.20 : 1,230.84 = 357.84 : x
  2. Step 2: Convert to fraction form
    820.20/1,230.84 = 357.84/x
  3. Step 3: Cross multiply
    820.20x = 1,230.84 × 357.84
  4. Step 4: Simplify right side
    820.20x = 440,443.79
  5. Step 5: Solve for x
    x = 440,443.79/820.20
  6. Step 6: Final answer
    x = 537.00

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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.