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Finding the Fourth Proportional to 862.63, 1,294.35 and 369.19

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Solution

The fourth proportional to 862.63, 1,294.35 and 369.19 is: 553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.63 : 1,294.35 = 369.19 : x
  2. Step 2: Convert to fraction form
    862.63/1,294.35 = 369.19/x
  3. Step 3: Cross multiply
    862.63x = 1,294.35 × 369.19
  4. Step 4: Simplify right side
    862.63x = 477,861.89
  5. Step 5: Solve for x
    x = 477,861.89/862.63
  6. Step 6: Final answer
    x = 553.96

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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.