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Finding the Fourth Proportional to 862.38, 1,293.70 and 285.39

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Solution

The fourth proportional to 862.38, 1,293.70 and 285.39 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.38 : 1,293.70 = 285.39 : x
  2. Step 2: Convert to fraction form
    862.38/1,293.70 = 285.39/x
  3. Step 3: Cross multiply
    862.38x = 1,293.70 × 285.39
  4. Step 4: Simplify right side
    862.38x = 369,201.86
  5. Step 5: Solve for x
    x = 369,201.86/862.38
  6. Step 6: Final answer
    x = 428.12

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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.