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Finding the Fourth Proportional to 828.98, 1,143.56 and 517.94

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Solution

The fourth proportional to 828.98, 1,143.56 and 517.94 is: 714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,143.56 = 517.94 : x
  2. Step 2: Convert to fraction form
    828.98/1,143.56 = 517.94/x
  3. Step 3: Cross multiply
    828.98x = 1,143.56 × 517.94
  4. Step 4: Simplify right side
    828.98x = 592,295.47
  5. Step 5: Solve for x
    x = 592,295.47/828.98
  6. Step 6: Final answer
    x = 714.49

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Double scale
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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.