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Finding the Fourth Proportional to 792.11, 1,188.28 and 257.65

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Solution

The fourth proportional to 792.11, 1,188.28 and 257.65 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.11 : 1,188.28 = 257.65 : x
  2. Step 2: Convert to fraction form
    792.11/1,188.28 = 257.65/x
  3. Step 3: Cross multiply
    792.11x = 1,188.28 × 257.65
  4. Step 4: Simplify right side
    792.11x = 306,160.34
  5. Step 5: Solve for x
    x = 306,160.34/792.11
  6. Step 6: Final answer
    x = 386.51

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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.