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Finding the Fourth Proportional to 2,453.67, 3,679.71 and 809.76

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Solution

The fourth proportional to 2,453.67, 3,679.71 and 809.76 is: 1,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.67 : 3,679.71 = 809.76 : x
  2. Step 2: Convert to fraction form
    2,453.67/3,679.71 = 809.76/x
  3. Step 3: Cross multiply
    2,453.67x = 3,679.71 × 809.76
  4. Step 4: Simplify right side
    2,453.67x = 2,979,681.97
  5. Step 5: Solve for x
    x = 2,979,681.97/2,453.67
  6. Step 6: Final answer
    x = 1,214.38

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1.5x scale

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.