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Finding the Fourth Proportional to 827.32, 1,239.15 and 608.33

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Solution

The fourth proportional to 827.32, 1,239.15 and 608.33 is: 911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.32 : 1,239.15 = 608.33 : x
  2. Step 2: Convert to fraction form
    827.32/1,239.15 = 608.33/x
  3. Step 3: Cross multiply
    827.32x = 1,239.15 × 608.33
  4. Step 4: Simplify right side
    827.32x = 753,805.92
  5. Step 5: Solve for x
    x = 753,805.92/827.32
  6. Step 6: Final answer
    x = 911.14

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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.