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Finding the Fourth Proportional to 792.90, 1,189.35 and 784.80

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Solution

The fourth proportional to 792.90, 1,189.35 and 784.80 is: 1,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.90 : 1,189.35 = 784.80 : x
  2. Step 2: Convert to fraction form
    792.90/1,189.35 = 784.80/x
  3. Step 3: Cross multiply
    792.90x = 1,189.35 × 784.80
  4. Step 4: Simplify right side
    792.90x = 933,401.88
  5. Step 5: Solve for x
    x = 933,401.88/792.90
  6. Step 6: Final answer
    x = 1,177.20

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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.