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Finding the Fourth Proportional to 828.36, 1,142.91 and 513.47

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Solution

The fourth proportional to 828.36, 1,142.91 and 513.47 is: 708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.36 : 1,142.91 = 513.47 : x
  2. Step 2: Convert to fraction form
    828.36/1,142.91 = 513.47/x
  3. Step 3: Cross multiply
    828.36x = 1,142.91 × 513.47
  4. Step 4: Simplify right side
    828.36x = 586,852.85
  5. Step 5: Solve for x
    x = 586,852.85/828.36
  6. Step 6: Final answer
    x = 708.45

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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.