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Finding the Fourth Proportional to 1,209.34, 1,813.98 and 343.66

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Solution

The fourth proportional to 1,209.34, 1,813.98 and 343.66 is: 515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.34 : 1,813.98 = 343.66 : x
  2. Step 2: Convert to fraction form
    1,209.34/1,813.98 = 343.66/x
  3. Step 3: Cross multiply
    1,209.34x = 1,813.98 × 343.66
  4. Step 4: Simplify right side
    1,209.34x = 623,382.21
  5. Step 5: Solve for x
    x = 623,382.21/1,209.34
  6. Step 6: Final answer
    x = 515.47

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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.