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Finding the Fourth Proportional to 792.75, 1,188.57 and 402.87

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Solution

The fourth proportional to 792.75, 1,188.57 and 402.87 is: 604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.75 : 1,188.57 = 402.87 : x
  2. Step 2: Convert to fraction form
    792.75/1,188.57 = 402.87/x
  3. Step 3: Cross multiply
    792.75x = 1,188.57 × 402.87
  4. Step 4: Simplify right side
    792.75x = 478,839.20
  5. Step 5: Solve for x
    x = 478,839.20/792.75
  6. Step 6: Final answer
    x = 604.02

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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.