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Finding the Fourth Proportional to 862.38, 1,293.36 and 285.12

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Solution

The fourth proportional to 862.38, 1,293.36 and 285.12 is: 427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.38 : 1,293.36 = 285.12 : x
  2. Step 2: Convert to fraction form
    862.38/1,293.36 = 285.12/x
  3. Step 3: Cross multiply
    862.38x = 1,293.36 × 285.12
  4. Step 4: Simplify right side
    862.38x = 368,762.80
  5. Step 5: Solve for x
    x = 368,762.80/862.38
  6. Step 6: Final answer
    x = 427.61

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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.