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Finding the Fourth Proportional to 828.38, 1,143.12 and 513.56

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Solution

The fourth proportional to 828.38, 1,143.12 and 513.56 is: 708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.38 : 1,143.12 = 513.56 : x
  2. Step 2: Convert to fraction form
    828.38/1,143.12 = 513.56/x
  3. Step 3: Cross multiply
    828.38x = 1,143.12 × 513.56
  4. Step 4: Simplify right side
    828.38x = 587,060.71
  5. Step 5: Solve for x
    x = 587,060.71/828.38
  6. Step 6: Final answer
    x = 708.69

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Double scale
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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.