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Finding the Fourth Proportional to 862.69, 1,294.10 and 285.56

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Solution

The fourth proportional to 862.69, 1,294.10 and 285.56 is: 428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.69 : 1,294.10 = 285.56 : x
  2. Step 2: Convert to fraction form
    862.69/1,294.10 = 285.56/x
  3. Step 3: Cross multiply
    862.69x = 1,294.10 × 285.56
  4. Step 4: Simplify right side
    862.69x = 369,546.07
  5. Step 5: Solve for x
    x = 369,546.07/862.69
  6. Step 6: Final answer
    x = 428.37

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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.