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Finding the Fourth Proportional to 1,149.60, 1,724.40 and 989.28

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Solution

The fourth proportional to 1,149.60, 1,724.40 and 989.28 is: 1,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.60 : 1,724.40 = 989.28 : x
  2. Step 2: Convert to fraction form
    1,149.60/1,724.40 = 989.28/x
  3. Step 3: Cross multiply
    1,149.60x = 1,724.40 × 989.28
  4. Step 4: Simplify right side
    1,149.60x = 1,705,914.43
  5. Step 5: Solve for x
    x = 1,705,914.43/1,149.60
  6. Step 6: Final answer
    x = 1,483.92

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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.