Home / 1,204.24-1,806.40-382.72

Finding the Fourth Proportional to 1,204.24, 1,806.40 and 382.72

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Solution

The fourth proportional to 1,204.24, 1,806.40 and 382.72 is: 574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.24 : 1,806.40 = 382.72 : x
  2. Step 2: Convert to fraction form
    1,204.24/1,806.40 = 382.72/x
  3. Step 3: Cross multiply
    1,204.24x = 1,806.40 × 382.72
  4. Step 4: Simplify right side
    1,204.24x = 691,345.41
  5. Step 5: Solve for x
    x = 691,345.41/1,204.24
  6. Step 6: Final answer
    x = 574.09

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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.