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Finding the Fourth Proportional to 792.45, 1,188.84 and 446.63

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Solution

The fourth proportional to 792.45, 1,188.84 and 446.63 is: 670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.45 : 1,188.84 = 446.63 : x
  2. Step 2: Convert to fraction form
    792.45/1,188.84 = 446.63/x
  3. Step 3: Cross multiply
    792.45x = 1,188.84 × 446.63
  4. Step 4: Simplify right side
    792.45x = 530,967.13
  5. Step 5: Solve for x
    x = 530,967.13/792.45
  6. Step 6: Final answer
    x = 670.04

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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.