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Finding the Fourth Proportional to 1,478.43, 2,039.31 and 980.87

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Solution

The fourth proportional to 1,478.43, 2,039.31 and 980.87 is: 1,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.43 : 2,039.31 = 980.87 : x
  2. Step 2: Convert to fraction form
    1,478.43/2,039.31 = 980.87/x
  3. Step 3: Cross multiply
    1,478.43x = 2,039.31 × 980.87
  4. Step 4: Simplify right side
    1,478.43x = 2,000,287.80
  5. Step 5: Solve for x
    x = 2,000,287.80/1,478.43
  6. Step 6: Final answer
    x = 1,352.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.