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Finding the Fourth Proportional to 785.76, 1,084.44 and 549.48

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Solution

The fourth proportional to 785.76, 1,084.44 and 549.48 is: 758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.76 : 1,084.44 = 549.48 : x
  2. Step 2: Convert to fraction form
    785.76/1,084.44 = 549.48/x
  3. Step 3: Cross multiply
    785.76x = 1,084.44 × 549.48
  4. Step 4: Simplify right side
    785.76x = 595,878.09
  5. Step 5: Solve for x
    x = 595,878.09/785.76
  6. Step 6: Final answer
    x = 758.35

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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.