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Finding the Fourth Proportional to 992.31, 1,369.79 and 723.53

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Solution

The fourth proportional to 992.31, 1,369.79 and 723.53 is: 998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.31 : 1,369.79 = 723.53 : x
  2. Step 2: Convert to fraction form
    992.31/1,369.79 = 723.53/x
  3. Step 3: Cross multiply
    992.31x = 1,369.79 × 723.53
  4. Step 4: Simplify right side
    992.31x = 991,073.69
  5. Step 5: Solve for x
    x = 991,073.69/992.31
  6. Step 6: Final answer
    x = 998.75

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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.