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Finding the Fourth Proportional to 792.98, 1,189.75 and 354.19

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Solution

The fourth proportional to 792.98, 1,189.75 and 354.19 is: 531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.98 : 1,189.75 = 354.19 : x
  2. Step 2: Convert to fraction form
    792.98/1,189.75 = 354.19/x
  3. Step 3: Cross multiply
    792.98x = 1,189.75 × 354.19
  4. Step 4: Simplify right side
    792.98x = 421,389.83
  5. Step 5: Solve for x
    x = 421,389.83/792.98
  6. Step 6: Final answer
    x = 531.40

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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.