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Finding the Fourth Proportional to 828.83, 1,243.55 and 521.44

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Solution

The fourth proportional to 828.83, 1,243.55 and 521.44 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.83 : 1,243.55 = 521.44 : x
  2. Step 2: Convert to fraction form
    828.83/1,243.55 = 521.44/x
  3. Step 3: Cross multiply
    828.83x = 1,243.55 × 521.44
  4. Step 4: Simplify right side
    828.83x = 648,434.91
  5. Step 5: Solve for x
    x = 648,434.91/828.83
  6. Step 6: Final answer
    x = 782.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.