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Finding the Fourth Proportional to 792.48, 1,190.08 and 486.13

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Solution

The fourth proportional to 792.48, 1,190.08 and 486.13 is: 730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.48 : 1,190.08 = 486.13 : x
  2. Step 2: Convert to fraction form
    792.48/1,190.08 = 486.13/x
  3. Step 3: Cross multiply
    792.48x = 1,190.08 × 486.13
  4. Step 4: Simplify right side
    792.48x = 578,531.22
  5. Step 5: Solve for x
    x = 578,531.22/792.48
  6. Step 6: Final answer
    x = 730.03

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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.