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Finding the Fourth Proportional to 1,084.31, 1,625.88 and 563.03

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Solution

The fourth proportional to 1,084.31, 1,625.88 and 563.03 is: 844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.31 : 1,625.88 = 563.03 : x
  2. Step 2: Convert to fraction form
    1,084.31/1,625.88 = 563.03/x
  3. Step 3: Cross multiply
    1,084.31x = 1,625.88 × 563.03
  4. Step 4: Simplify right side
    1,084.31x = 915,411.09
  5. Step 5: Solve for x
    x = 915,411.09/1,084.31
  6. Step 6: Final answer
    x = 844.23

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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.