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Finding the Fourth Proportional to 1,253.43, 1,879.20 and 980.10

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Solution

The fourth proportional to 1,253.43, 1,879.20 and 980.10 is: 1,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.43 : 1,879.20 = 980.10 : x
  2. Step 2: Convert to fraction form
    1,253.43/1,879.20 = 980.10/x
  3. Step 3: Cross multiply
    1,253.43x = 1,879.20 × 980.10
  4. Step 4: Simplify right side
    1,253.43x = 1,841,803.92
  5. Step 5: Solve for x
    x = 1,841,803.92/1,253.43
  6. Step 6: Final answer
    x = 1,469.41

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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.