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Finding the Fourth Proportional to 1,083.49, 1,621.17 and 643.13

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Solution

The fourth proportional to 1,083.49, 1,621.17 and 643.13 is: 962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.49 : 1,621.17 = 643.13 : x
  2. Step 2: Convert to fraction form
    1,083.49/1,621.17 = 643.13/x
  3. Step 3: Cross multiply
    1,083.49x = 1,621.17 × 643.13
  4. Step 4: Simplify right side
    1,083.49x = 1,042,623.06
  5. Step 5: Solve for x
    x = 1,042,623.06/1,083.49
  6. Step 6: Final answer
    x = 962.28

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1.5x scale

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.