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Finding the Fourth Proportional to 828.83, 1,143.81 and 455.83

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Solution

The fourth proportional to 828.83, 1,143.81 and 455.83 is: 629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.83 : 1,143.81 = 455.83 : x
  2. Step 2: Convert to fraction form
    828.83/1,143.81 = 455.83/x
  3. Step 3: Cross multiply
    828.83x = 1,143.81 × 455.83
  4. Step 4: Simplify right side
    828.83x = 521,382.91
  5. Step 5: Solve for x
    x = 521,382.91/828.83
  6. Step 6: Final answer
    x = 629.06

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1.5x scale

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.