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Finding the Fourth Proportional to 992.12, 1,369.43 and 618.87

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Solution

The fourth proportional to 992.12, 1,369.43 and 618.87 is: 854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.12 : 1,369.43 = 618.87 : x
  2. Step 2: Convert to fraction form
    992.12/1,369.43 = 618.87/x
  3. Step 3: Cross multiply
    992.12x = 1,369.43 × 618.87
  4. Step 4: Simplify right side
    992.12x = 847,496.05
  5. Step 5: Solve for x
    x = 847,496.05/992.12
  6. Step 6: Final answer
    x = 854.23

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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.