Home / 1,209.20-1,814.08-387.52

Finding the Fourth Proportional to 1,209.20, 1,814.08 and 387.52

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Solution

The fourth proportional to 1,209.20, 1,814.08 and 387.52 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.20 : 1,814.08 = 387.52 : x
  2. Step 2: Convert to fraction form
    1,209.20/1,814.08 = 387.52/x
  3. Step 3: Cross multiply
    1,209.20x = 1,814.08 × 387.52
  4. Step 4: Simplify right side
    1,209.20x = 702,992.28
  5. Step 5: Solve for x
    x = 702,992.28/1,209.20
  6. Step 6: Final answer
    x = 581.37

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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.