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Finding the Fourth Proportional to 1,265.25, 1,897.89 and 443.08

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Solution

The fourth proportional to 1,265.25, 1,897.89 and 443.08 is: 664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.25 : 1,897.89 = 443.08 : x
  2. Step 2: Convert to fraction form
    1,265.25/1,897.89 = 443.08/x
  3. Step 3: Cross multiply
    1,265.25x = 1,897.89 × 443.08
  4. Step 4: Simplify right side
    1,265.25x = 840,917.81
  5. Step 5: Solve for x
    x = 840,917.81/1,265.25
  6. Step 6: Final answer
    x = 664.62

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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.