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Finding the Fourth Proportional to 1,209.10, 1,813.67 and 387.43

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Solution

The fourth proportional to 1,209.10, 1,813.67 and 387.43 is: 581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.10 : 1,813.67 = 387.43 : x
  2. Step 2: Convert to fraction form
    1,209.10/1,813.67 = 387.43/x
  3. Step 3: Cross multiply
    1,209.10x = 1,813.67 × 387.43
  4. Step 4: Simplify right side
    1,209.10x = 702,674.26
  5. Step 5: Solve for x
    x = 702,674.26/1,209.10
  6. Step 6: Final answer
    x = 581.15

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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.