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Finding the Fourth Proportional to 792.16, 1,188.22 and 427.66

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Solution

The fourth proportional to 792.16, 1,188.22 and 427.66 is: 641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.16 : 1,188.22 = 427.66 : x
  2. Step 2: Convert to fraction form
    792.16/1,188.22 = 427.66/x
  3. Step 3: Cross multiply
    792.16x = 1,188.22 × 427.66
  4. Step 4: Simplify right side
    792.16x = 508,146.09
  5. Step 5: Solve for x
    x = 508,146.09/792.16
  6. Step 6: Final answer
    x = 641.47

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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.