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Finding the Fourth Proportional to 1,480.26, 2,217.96 and 657.30

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Solution

The fourth proportional to 1,480.26, 2,217.96 and 657.30 is: 984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.26 : 2,217.96 = 657.30 : x
  2. Step 2: Convert to fraction form
    1,480.26/2,217.96 = 657.30/x
  3. Step 3: Cross multiply
    1,480.26x = 2,217.96 × 657.30
  4. Step 4: Simplify right side
    1,480.26x = 1,457,865.11
  5. Step 5: Solve for x
    x = 1,457,865.11/1,480.26
  6. Step 6: Final answer
    x = 984.87

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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.