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Finding the Fourth Proportional to 992.09, 1,368.73 and 598.97

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Solution

The fourth proportional to 992.09, 1,368.73 and 598.97 is: 826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.09 : 1,368.73 = 598.97 : x
  2. Step 2: Convert to fraction form
    992.09/1,368.73 = 598.97/x
  3. Step 3: Cross multiply
    992.09x = 1,368.73 × 598.97
  4. Step 4: Simplify right side
    992.09x = 819,832.38
  5. Step 5: Solve for x
    x = 819,832.38/992.09
  6. Step 6: Final answer
    x = 826.37

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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.