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Finding the Fourth Proportional to 792.74, 1,188.42 and 306.13

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Solution

The fourth proportional to 792.74, 1,188.42 and 306.13 is: 458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.74 : 1,188.42 = 306.13 : x
  2. Step 2: Convert to fraction form
    792.74/1,188.42 = 306.13/x
  3. Step 3: Cross multiply
    792.74x = 1,188.42 × 306.13
  4. Step 4: Simplify right side
    792.74x = 363,811.01
  5. Step 5: Solve for x
    x = 363,811.01/792.74
  6. Step 6: Final answer
    x = 458.93

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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.