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Finding the Fourth Proportional to 792.80, 1,190.55 and 520.10

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Solution

The fourth proportional to 792.80, 1,190.55 and 520.10 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.80 : 1,190.55 = 520.10 : x
  2. Step 2: Convert to fraction form
    792.80/1,190.55 = 520.10/x
  3. Step 3: Cross multiply
    792.80x = 1,190.55 × 520.10
  4. Step 4: Simplify right side
    792.80x = 619,205.06
  5. Step 5: Solve for x
    x = 619,205.06/792.80
  6. Step 6: Final answer
    x = 781.04

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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.