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Finding the Fourth Proportional to 828.35, 1,142.68 and 513.51

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Solution

The fourth proportional to 828.35, 1,142.68 and 513.51 is: 708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.35 : 1,142.68 = 513.51 : x
  2. Step 2: Convert to fraction form
    828.35/1,142.68 = 513.51/x
  3. Step 3: Cross multiply
    828.35x = 1,142.68 × 513.51
  4. Step 4: Simplify right side
    828.35x = 586,773.96
  5. Step 5: Solve for x
    x = 586,773.96/828.35
  6. Step 6: Final answer
    x = 708.37

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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.