Home / 1,166.25-1,748.81-549.44

Finding the Fourth Proportional to 1,166.25, 1,748.81 and 549.44

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Solution

The fourth proportional to 1,166.25, 1,748.81 and 549.44 is: 823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.25 : 1,748.81 = 549.44 : x
  2. Step 2: Convert to fraction form
    1,166.25/1,748.81 = 549.44/x
  3. Step 3: Cross multiply
    1,166.25x = 1,748.81 × 549.44
  4. Step 4: Simplify right side
    1,166.25x = 960,854.68
  5. Step 5: Solve for x
    x = 960,854.68/1,166.25
  6. Step 6: Final answer
    x = 823.88

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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.