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Finding the Fourth Proportional to 792.98, 1,189.98 and 428.02

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Solution

The fourth proportional to 792.98, 1,189.98 and 428.02 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.98 : 1,189.98 = 428.02 : x
  2. Step 2: Convert to fraction form
    792.98/1,189.98 = 428.02/x
  3. Step 3: Cross multiply
    792.98x = 1,189.98 × 428.02
  4. Step 4: Simplify right side
    792.98x = 509,335.24
  5. Step 5: Solve for x
    x = 509,335.24/792.98
  6. Step 6: Final answer
    x = 642.31

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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.