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Finding the Fourth Proportional to 862.45, 1,292.76 and 423.46

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Solution

The fourth proportional to 862.45, 1,292.76 and 423.46 is: 634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.45 : 1,292.76 = 423.46 : x
  2. Step 2: Convert to fraction form
    862.45/1,292.76 = 423.46/x
  3. Step 3: Cross multiply
    862.45x = 1,292.76 × 423.46
  4. Step 4: Simplify right side
    862.45x = 547,433.77
  5. Step 5: Solve for x
    x = 547,433.77/862.45
  6. Step 6: Final answer
    x = 634.74

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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.