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Finding the Fourth Proportional to 791.03, 1,090.14 and 569.60

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Solution

The fourth proportional to 791.03, 1,090.14 and 569.60 is: 784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.03 : 1,090.14 = 569.60 : x
  2. Step 2: Convert to fraction form
    791.03/1,090.14 = 569.60/x
  3. Step 3: Cross multiply
    791.03x = 1,090.14 × 569.60
  4. Step 4: Simplify right side
    791.03x = 620,938.29
  5. Step 5: Solve for x
    x = 620,938.29/791.03
  6. Step 6: Final answer
    x = 784.98

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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.