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Finding the Fourth Proportional to 1,335.44, 2,005.38 and 825.68

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Solution

The fourth proportional to 1,335.44, 2,005.38 and 825.68 is: 1,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.44 : 2,005.38 = 825.68 : x
  2. Step 2: Convert to fraction form
    1,335.44/2,005.38 = 825.68/x
  3. Step 3: Cross multiply
    1,335.44x = 2,005.38 × 825.68
  4. Step 4: Simplify right side
    1,335.44x = 1,655,802.16
  5. Step 5: Solve for x
    x = 1,655,802.16/1,335.44
  6. Step 6: Final answer
    x = 1,239.89

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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.