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Finding the Fourth Proportional to 1,639.29, 2,458.59 and 543.41

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Solution

The fourth proportional to 1,639.29, 2,458.59 and 543.41 is: 814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.29 : 2,458.59 = 543.41 : x
  2. Step 2: Convert to fraction form
    1,639.29/2,458.59 = 543.41/x
  3. Step 3: Cross multiply
    1,639.29x = 2,458.59 × 543.41
  4. Step 4: Simplify right side
    1,639.29x = 1,336,010.10
  5. Step 5: Solve for x
    x = 1,336,010.10/1,639.29
  6. Step 6: Final answer
    x = 814.99

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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.