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Finding the Fourth Proportional to 1,079.60, 1,622.60 and 938.80

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Solution

The fourth proportional to 1,079.60, 1,622.60 and 938.80 is: 1,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.60 : 1,622.60 = 938.80 : x
  2. Step 2: Convert to fraction form
    1,079.60/1,622.60 = 938.80/x
  3. Step 3: Cross multiply
    1,079.60x = 1,622.60 × 938.80
  4. Step 4: Simplify right side
    1,079.60x = 1,523,296.88
  5. Step 5: Solve for x
    x = 1,523,296.88/1,079.60
  6. Step 6: Final answer
    x = 1,410.98

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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.