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Finding the Fourth Proportional to 792.03, 1,180.30 and 765.91

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Solution

The fourth proportional to 792.03, 1,180.30 and 765.91 is: 1,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.03 : 1,180.30 = 765.91 : x
  2. Step 2: Convert to fraction form
    792.03/1,180.30 = 765.91/x
  3. Step 3: Cross multiply
    792.03x = 1,180.30 × 765.91
  4. Step 4: Simplify right side
    792.03x = 903,998.71
  5. Step 5: Solve for x
    x = 903,998.71/792.03
  6. Step 6: Final answer
    x = 1,141.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.