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Finding the Fourth Proportional to 827.92, 1,241.88 and 503.11

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Solution

The fourth proportional to 827.92, 1,241.88 and 503.11 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.92 : 1,241.88 = 503.11 : x
  2. Step 2: Convert to fraction form
    827.92/1,241.88 = 503.11/x
  3. Step 3: Cross multiply
    827.92x = 1,241.88 × 503.11
  4. Step 4: Simplify right side
    827.92x = 624,802.25
  5. Step 5: Solve for x
    x = 624,802.25/827.92
  6. Step 6: Final answer
    x = 754.67

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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.