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Finding the Fourth Proportional to 792.35, 1,188.98 and 305.43

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Solution

The fourth proportional to 792.35, 1,188.98 and 305.43 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.35 : 1,188.98 = 305.43 : x
  2. Step 2: Convert to fraction form
    792.35/1,188.98 = 305.43/x
  3. Step 3: Cross multiply
    792.35x = 1,188.98 × 305.43
  4. Step 4: Simplify right side
    792.35x = 363,148.63
  5. Step 5: Solve for x
    x = 363,148.63/792.35
  6. Step 6: Final answer
    x = 458.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.