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Finding the Fourth Proportional to 785.50, 1,083.99 and 553.12

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Solution

The fourth proportional to 785.50, 1,083.99 and 553.12 is: 763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.50 : 1,083.99 = 553.12 : x
  2. Step 2: Convert to fraction form
    785.50/1,083.99 = 553.12/x
  3. Step 3: Cross multiply
    785.50x = 1,083.99 × 553.12
  4. Step 4: Simplify right side
    785.50x = 599,576.55
  5. Step 5: Solve for x
    x = 599,576.55/785.50
  6. Step 6: Final answer
    x = 763.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.