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Finding the Fourth Proportional to 1,209.57, 1,814.60 and 387.87

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Solution

The fourth proportional to 1,209.57, 1,814.60 and 387.87 is: 581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.57 : 1,814.60 = 387.87 : x
  2. Step 2: Convert to fraction form
    1,209.57/1,814.60 = 387.87/x
  3. Step 3: Cross multiply
    1,209.57x = 1,814.60 × 387.87
  4. Step 4: Simplify right side
    1,209.57x = 703,828.90
  5. Step 5: Solve for x
    x = 703,828.90/1,209.57
  6. Step 6: Final answer
    x = 581.88

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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.