Home / 1,581.40-2,370.38-540.44

Finding the Fourth Proportional to 1,581.40, 2,370.38 and 540.44

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Solution

The fourth proportional to 1,581.40, 2,370.38 and 540.44 is: 810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.40 : 2,370.38 = 540.44 : x
  2. Step 2: Convert to fraction form
    1,581.40/2,370.38 = 540.44/x
  3. Step 3: Cross multiply
    1,581.40x = 2,370.38 × 540.44
  4. Step 4: Simplify right side
    1,581.40x = 1,281,048.17
  5. Step 5: Solve for x
    x = 1,281,048.17/1,581.40
  6. Step 6: Final answer
    x = 810.07

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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.