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Finding the Fourth Proportional to 492.05, 738.07 and 283.86

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Solution

The fourth proportional to 492.05, 738.07 and 283.86 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.05 : 738.07 = 283.86 : x
  2. Step 2: Convert to fraction form
    492.05/738.07 = 283.86/x
  3. Step 3: Cross multiply
    492.05x = 738.07 × 283.86
  4. Step 4: Simplify right side
    492.05x = 209,507.84
  5. Step 5: Solve for x
    x = 209,507.84/492.05
  6. Step 6: Final answer
    x = 425.78

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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.