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Finding the Fourth Proportional to 819.79, 1,230.30 and 454.69

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Solution

The fourth proportional to 819.79, 1,230.30 and 454.69 is: 682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.79 : 1,230.30 = 454.69 : x
  2. Step 2: Convert to fraction form
    819.79/1,230.30 = 454.69/x
  3. Step 3: Cross multiply
    819.79x = 1,230.30 × 454.69
  4. Step 4: Simplify right side
    819.79x = 559,405.11
  5. Step 5: Solve for x
    x = 559,405.11/819.79
  6. Step 6: Final answer
    x = 682.38

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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.