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Finding the Fourth Proportional to 792.48, 1,090.80 and 571.08

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Solution

The fourth proportional to 792.48, 1,090.80 and 571.08 is: 786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.48 : 1,090.80 = 571.08 : x
  2. Step 2: Convert to fraction form
    792.48/1,090.80 = 571.08/x
  3. Step 3: Cross multiply
    792.48x = 1,090.80 × 571.08
  4. Step 4: Simplify right side
    792.48x = 622,934.06
  5. Step 5: Solve for x
    x = 622,934.06/792.48
  6. Step 6: Final answer
    x = 786.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.