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Finding the Fourth Proportional to 814.60, 1,220.10 and 490.60

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Solution

The fourth proportional to 814.60, 1,220.10 and 490.60 is: 734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.60 : 1,220.10 = 490.60 : x
  2. Step 2: Convert to fraction form
    814.60/1,220.10 = 490.60/x
  3. Step 3: Cross multiply
    814.60x = 1,220.10 × 490.60
  4. Step 4: Simplify right side
    814.60x = 598,581.06
  5. Step 5: Solve for x
    x = 598,581.06/814.60
  6. Step 6: Final answer
    x = 734.82

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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.