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Finding the Fourth Proportional to 1,639.64, 2,459.31 and 543.64

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Solution

The fourth proportional to 1,639.64, 2,459.31 and 543.64 is: 815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.64 : 2,459.31 = 543.64 : x
  2. Step 2: Convert to fraction form
    1,639.64/2,459.31 = 543.64/x
  3. Step 3: Cross multiply
    1,639.64x = 2,459.31 × 543.64
  4. Step 4: Simplify right side
    1,639.64x = 1,336,979.29
  5. Step 5: Solve for x
    x = 1,336,979.29/1,639.64
  6. Step 6: Final answer
    x = 815.41

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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.