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Finding the Fourth Proportional to 828.84, 1,143.80 and 455.85

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Solution

The fourth proportional to 828.84, 1,143.80 and 455.85 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,143.80 = 455.85 : x
  2. Step 2: Convert to fraction form
    828.84/1,143.80 = 455.85/x
  3. Step 3: Cross multiply
    828.84x = 1,143.80 × 455.85
  4. Step 4: Simplify right side
    828.84x = 521,401.23
  5. Step 5: Solve for x
    x = 521,401.23/828.84
  6. Step 6: Final answer
    x = 629.07

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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.