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Finding the Fourth Proportional to 785.77, 1,084.02 and 549.75

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Solution

The fourth proportional to 785.77, 1,084.02 and 549.75 is: 758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.77 : 1,084.02 = 549.75 : x
  2. Step 2: Convert to fraction form
    785.77/1,084.02 = 549.75/x
  3. Step 3: Cross multiply
    785.77x = 1,084.02 × 549.75
  4. Step 4: Simplify right side
    785.77x = 595,942.00
  5. Step 5: Solve for x
    x = 595,942.00/785.77
  6. Step 6: Final answer
    x = 758.42

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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.