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Finding the Fourth Proportional to 992.96, 1,370.42 and 573.38

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Solution

The fourth proportional to 992.96, 1,370.42 and 573.38 is: 791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.96 : 1,370.42 = 573.38 : x
  2. Step 2: Convert to fraction form
    992.96/1,370.42 = 573.38/x
  3. Step 3: Cross multiply
    992.96x = 1,370.42 × 573.38
  4. Step 4: Simplify right side
    992.96x = 785,771.42
  5. Step 5: Solve for x
    x = 785,771.42/992.96
  6. Step 6: Final answer
    x = 791.34

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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.