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Finding the Fourth Proportional to 827.33, 1,239.83 and 457.31

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Solution

The fourth proportional to 827.33, 1,239.83 and 457.31 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.33 : 1,239.83 = 457.31 : x
  2. Step 2: Convert to fraction form
    827.33/1,239.83 = 457.31/x
  3. Step 3: Cross multiply
    827.33x = 1,239.83 × 457.31
  4. Step 4: Simplify right side
    827.33x = 566,985.30
  5. Step 5: Solve for x
    x = 566,985.30/827.33
  6. Step 6: Final answer
    x = 685.32

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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.