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Finding the Fourth Proportional to 791.28, 1,090.42 and 569.81

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Solution

The fourth proportional to 791.28, 1,090.42 and 569.81 is: 785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.28 : 1,090.42 = 569.81 : x
  2. Step 2: Convert to fraction form
    791.28/1,090.42 = 569.81/x
  3. Step 3: Cross multiply
    791.28x = 1,090.42 × 569.81
  4. Step 4: Simplify right side
    791.28x = 621,332.93
  5. Step 5: Solve for x
    x = 621,332.93/791.28
  6. Step 6: Final answer
    x = 785.23

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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.