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Finding the Fourth Proportional to 828.28, 1,142.66 and 513.46

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Solution

The fourth proportional to 828.28, 1,142.66 and 513.46 is: 708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.28 : 1,142.66 = 513.46 : x
  2. Step 2: Convert to fraction form
    828.28/1,142.66 = 513.46/x
  3. Step 3: Cross multiply
    828.28x = 1,142.66 × 513.46
  4. Step 4: Simplify right side
    828.28x = 586,710.20
  5. Step 5: Solve for x
    x = 586,710.20/828.28
  6. Step 6: Final answer
    x = 708.35

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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.