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Finding the Fourth Proportional to 1,209.63, 1,814.35 and 343.83

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Solution

The fourth proportional to 1,209.63, 1,814.35 and 343.83 is: 515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.63 : 1,814.35 = 343.83 : x
  2. Step 2: Convert to fraction form
    1,209.63/1,814.35 = 343.83/x
  3. Step 3: Cross multiply
    1,209.63x = 1,814.35 × 343.83
  4. Step 4: Simplify right side
    1,209.63x = 623,827.96
  5. Step 5: Solve for x
    x = 623,827.96/1,209.63
  6. Step 6: Final answer
    x = 515.72

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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.