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Finding the Fourth Proportional to 1,638.69, 2,458.14 and 543.06

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Solution

The fourth proportional to 1,638.69, 2,458.14 and 543.06 is: 814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.69 : 2,458.14 = 543.06 : x
  2. Step 2: Convert to fraction form
    1,638.69/2,458.14 = 543.06/x
  3. Step 3: Cross multiply
    1,638.69x = 2,458.14 × 543.06
  4. Step 4: Simplify right side
    1,638.69x = 1,334,917.51
  5. Step 5: Solve for x
    x = 1,334,917.51/1,638.69
  6. Step 6: Final answer
    x = 814.62

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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.