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Finding the Fourth Proportional to 1,640.26, 2,455.53 and 989.02

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Solution

The fourth proportional to 1,640.26, 2,455.53 and 989.02 is: 1,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.26 : 2,455.53 = 989.02 : x
  2. Step 2: Convert to fraction form
    1,640.26/2,455.53 = 989.02/x
  3. Step 3: Cross multiply
    1,640.26x = 2,455.53 × 989.02
  4. Step 4: Simplify right side
    1,640.26x = 2,428,568.28
  5. Step 5: Solve for x
    x = 2,428,568.28/1,640.26
  6. Step 6: Final answer
    x = 1,480.60

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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.