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Finding the Fourth Proportional to 2,290.33, 3,434.95 and 992.71

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Solution

The fourth proportional to 2,290.33, 3,434.95 and 992.71 is: 1,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.33 : 3,434.95 = 992.71 : x
  2. Step 2: Convert to fraction form
    2,290.33/3,434.95 = 992.71/x
  3. Step 3: Cross multiply
    2,290.33x = 3,434.95 × 992.71
  4. Step 4: Simplify right side
    2,290.33x = 3,409,909.21
  5. Step 5: Solve for x
    x = 3,409,909.21/2,290.33
  6. Step 6: Final answer
    x = 1,488.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.