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Finding the Fourth Proportional to 992.11, 1,369.38 and 618.86

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Solution

The fourth proportional to 992.11, 1,369.38 and 618.86 is: 854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.11 : 1,369.38 = 618.86 : x
  2. Step 2: Convert to fraction form
    992.11/1,369.38 = 618.86/x
  3. Step 3: Cross multiply
    992.11x = 1,369.38 × 618.86
  4. Step 4: Simplify right side
    992.11x = 847,451.41
  5. Step 5: Solve for x
    x = 847,451.41/992.11
  6. Step 6: Final answer
    x = 854.19

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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.