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Finding the Fourth Proportional to 827.62, 1,239.81 and 595.96

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Solution

The fourth proportional to 827.62, 1,239.81 and 595.96 is: 892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.62 : 1,239.81 = 595.96 : x
  2. Step 2: Convert to fraction form
    827.62/1,239.81 = 595.96/x
  3. Step 3: Cross multiply
    827.62x = 1,239.81 × 595.96
  4. Step 4: Simplify right side
    827.62x = 738,871.83
  5. Step 5: Solve for x
    x = 738,871.83/827.62
  6. Step 6: Final answer
    x = 892.77

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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.