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Finding the Fourth Proportional to 1,085.97, 1,629.13 and 355.38

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Solution

The fourth proportional to 1,085.97, 1,629.13 and 355.38 is: 533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.97 : 1,629.13 = 355.38 : x
  2. Step 2: Convert to fraction form
    1,085.97/1,629.13 = 355.38/x
  3. Step 3: Cross multiply
    1,085.97x = 1,629.13 × 355.38
  4. Step 4: Simplify right side
    1,085.97x = 578,959.33
  5. Step 5: Solve for x
    x = 578,959.33/1,085.97
  6. Step 6: Final answer
    x = 533.13

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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.